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Finding the Fourth Proportional to 406.38, 609.42 and 132.54

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Solution

The fourth proportional to 406.38, 609.42 and 132.54 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.38 : 609.42 = 132.54 : x
  2. Step 2: Convert to fraction form
    406.38/609.42 = 132.54/x
  3. Step 3: Cross multiply
    406.38x = 609.42 × 132.54
  4. Step 4: Simplify right side
    406.38x = 80,772.53
  5. Step 5: Solve for x
    x = 80,772.53/406.38
  6. Step 6: Final answer
    x = 198.76

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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.