Finding the Fourth Proportional to 152.69, 229.16 and 109.42

Step by Step Solution

1. Step 1: Write the proportion equation
   152.69 : 229.16 = 109.42 : x
2. Step 2: Convert to fraction form
   152.69/229.16 = 109.42/x
3. Step 3: Cross multiply
   152.69x = 229.16 × 109.42
4. Step 4: Simplify right side
   152.69x = 25,074.39
5. Step 5: Solve for x
   x = 25,074.39/152.69
6. Step 6: Final answer
   x = 164.22