The Correct Answer

All the other answers are wrong. The important points:

1. You don’t need RelativeLayout. You can do this with just a LinearLayout.
2. (Not critical but I guess you didn’t know) Your weights don’t need to sum to 1, you can just set them all to any equal value (e.g. 1).
3. The critical thing is you need android:baselineAligned="false". I actually only found this by looking through the LinearLayout source. It is in the docs but they don’t mention that it is on by default!

Anyway, here is the code:

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
      android:layout_width="match_parent"
      android:layout_height="wrap_content"
      android:baselineAligned="false">
      <TextView 
           android:text="dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg dfg"
           android:layout_weight="1"
           android:layout_width="match_parent"
           android:layout_height="wrap_content"
           android:background="#eeffee"
           android:layout_gravity="bottom"/>

      <TextView 
           android:text="asd asd asd asd asd asd asd asd asd asd"
           android:layout_weight="1"
           android:layout_width="match_parent"
           android:layout_height="wrap_content"
           android:background="#eeeeff"
           android:layout_gravity="bottom"/>


      <TextView 
           android:text="qweoiu qweoiuqwe oiqwe qwoeiu qweoiu qweoiuq weoiuqw eoiquw eoiqwue oqiweu qowieu qowieu qoiweu qowieu qowieu qowieu qowieu qoiweu qowieu qoiwue "
           android:layout_weight="1"
           android:layout_width="match_parent"
           android:layout_height="wrap_content"
           android:background="#ffeeee"
           android:layout_gravity="bottom"/>

 </LinearLayout>

And how it looks: