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Finding the Fourth Proportional to 431, 644.88 and 267.92

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Solution

The fourth proportional to 431, 644.88 and 267.92 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 644.88 = 267.92 : x
  2. Step 2: Convert to fraction form
    431/644.88 = 267.92/x
  3. Step 3: Cross multiply
    431x = 644.88 × 267.92
  4. Step 4: Simplify right side
    431x = 172,776.25
  5. Step 5: Solve for x
    x = 172,776.25/431
  6. Step 6: Final answer
    x = 400.87

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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.