Finding the Fourth Proportional to 498.89, 748.32 and 152.21

Step by Step Solution

1. Step 1: Write the proportion equation
   498.89 : 748.32 = 152.21 : x
2. Step 2: Convert to fraction form
   498.89/748.32 = 152.21/x
3. Step 3: Cross multiply
   498.89x = 748.32 × 152.21
4. Step 4: Simplify right side
   498.89x = 113,898.05
5. Step 5: Solve for x
   x = 113,898.05/498.89
6. Step 6: Final answer
   x = 228.31