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Finding the Fourth Proportional to 498.68, 748.17 and 239.02

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Solution

The fourth proportional to 498.68, 748.17 and 239.02 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.68 : 748.17 = 239.02 : x
  2. Step 2: Convert to fraction form
    498.68/748.17 = 239.02/x
  3. Step 3: Cross multiply
    498.68x = 748.17 × 239.02
  4. Step 4: Simplify right side
    498.68x = 178,827.59
  5. Step 5: Solve for x
    x = 178,827.59/498.68
  6. Step 6: Final answer
    x = 358.60

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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.