Finding the Fourth Proportional to 99.50, 149.25 and 35.38

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 149.25 = 35.38 : x
2. Step 2: Convert to fraction form
   99.50/149.25 = 35.38/x
3. Step 3: Cross multiply
   99.50x = 149.25 × 35.38
4. Step 4: Simplify right side
   99.50x = 5,279.72
5. Step 5: Solve for x
   x = 5,279.72/99.50
6. Step 6: Final answer
   x = 53.06