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Finding the Fourth Proportional to 206.38, 284.77 and 132.71

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Solution

The fourth proportional to 206.38, 284.77 and 132.71 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 284.77 = 132.71 : x
  2. Step 2: Convert to fraction form
    206.38/284.77 = 132.71/x
  3. Step 3: Cross multiply
    206.38x = 284.77 × 132.71
  4. Step 4: Simplify right side
    206.38x = 37,791.83
  5. Step 5: Solve for x
    x = 37,791.83/206.38
  6. Step 6: Final answer
    x = 183.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.