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Finding the Fourth Proportional to 498.79, 748.17 and 152.11

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Solution

The fourth proportional to 498.79, 748.17 and 152.11 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.79 : 748.17 = 152.11 : x
  2. Step 2: Convert to fraction form
    498.79/748.17 = 152.11/x
  3. Step 3: Cross multiply
    498.79x = 748.17 × 152.11
  4. Step 4: Simplify right side
    498.79x = 113,805.07
  5. Step 5: Solve for x
    x = 113,805.07/498.79
  6. Step 6: Final answer
    x = 228.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.