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Finding the Fourth Proportional to 477.07, 658.40 and 267.28

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Solution

The fourth proportional to 477.07, 658.40 and 267.28 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.07 : 658.40 = 267.28 : x
  2. Step 2: Convert to fraction form
    477.07/658.40 = 267.28/x
  3. Step 3: Cross multiply
    477.07x = 658.40 × 267.28
  4. Step 4: Simplify right side
    477.07x = 175,974.53
  5. Step 5: Solve for x
    x = 175,974.53/477.07
  6. Step 6: Final answer
    x = 368.87

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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.