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Finding the Fourth Proportional to 267.91, 402.24 and 261.53

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Solution

The fourth proportional to 267.91, 402.24 and 261.53 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.91 : 402.24 = 261.53 : x
  2. Step 2: Convert to fraction form
    267.91/402.24 = 261.53/x
  3. Step 3: Cross multiply
    267.91x = 402.24 × 261.53
  4. Step 4: Simplify right side
    267.91x = 105,197.57
  5. Step 5: Solve for x
    x = 105,197.57/267.91
  6. Step 6: Final answer
    x = 392.66

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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.