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Finding the Fourth Proportional to 424.71, 636.92 and 132.20

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Solution

The fourth proportional to 424.71, 636.92 and 132.20 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 636.92 = 132.20 : x
  2. Step 2: Convert to fraction form
    424.71/636.92 = 132.20/x
  3. Step 3: Cross multiply
    424.71x = 636.92 × 132.20
  4. Step 4: Simplify right side
    424.71x = 84,196.98
  5. Step 5: Solve for x
    x = 84,196.98/424.71
  6. Step 6: Final answer
    x = 198.25

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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.