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Finding the Fourth Proportional to 498.78, 748.14 and 133.62

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Solution

The fourth proportional to 498.78, 748.14 and 133.62 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 748.14 = 133.62 : x
  2. Step 2: Convert to fraction form
    498.78/748.14 = 133.62/x
  3. Step 3: Cross multiply
    498.78x = 748.14 × 133.62
  4. Step 4: Simplify right side
    498.78x = 99,966.47
  5. Step 5: Solve for x
    x = 99,966.47/498.78
  6. Step 6: Final answer
    x = 200.42

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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.