Finding the Fourth Proportional to 498.62, 747.71 and 152.00

Step by Step Solution

1. Step 1: Write the proportion equation
   498.62 : 747.71 = 152.00 : x
2. Step 2: Convert to fraction form
   498.62/747.71 = 152.00/x
3. Step 3: Cross multiply
   498.62x = 747.71 × 152.00
4. Step 4: Simplify right side
   498.62x = 113,650.80
5. Step 5: Solve for x
   x = 113,650.80/498.62
6. Step 6: Final answer
   x = 227.93