Finding the Fourth Proportional to 146.16, 219.31 and 139.82

Step by Step Solution

1. Step 1: Write the proportion equation
   146.16 : 219.31 = 139.82 : x
2. Step 2: Convert to fraction form
   146.16/219.31 = 139.82/x
3. Step 3: Cross multiply
   146.16x = 219.31 × 139.82
4. Step 4: Simplify right side
   146.16x = 30,662.48
5. Step 5: Solve for x
   x = 30,662.48/146.16
6. Step 6: Final answer
   x = 209.79