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Finding the Fourth Proportional to 477.38, 658.80 and 267.55

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Solution

The fourth proportional to 477.38, 658.80 and 267.55 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 658.80 = 267.55 : x
  2. Step 2: Convert to fraction form
    477.38/658.80 = 267.55/x
  3. Step 3: Cross multiply
    477.38x = 658.80 × 267.55
  4. Step 4: Simplify right side
    477.38x = 176,261.94
  5. Step 5: Solve for x
    x = 176,261.94/477.38
  6. Step 6: Final answer
    x = 369.23

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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.