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Finding the Fourth Proportional to 267.43, 400.72 and 163.15

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Solution

The fourth proportional to 267.43, 400.72 and 163.15 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.43 : 400.72 = 163.15 : x
  2. Step 2: Convert to fraction form
    267.43/400.72 = 163.15/x
  3. Step 3: Cross multiply
    267.43x = 400.72 × 163.15
  4. Step 4: Simplify right side
    267.43x = 65,377.47
  5. Step 5: Solve for x
    x = 65,377.47/267.43
  6. Step 6: Final answer
    x = 244.47

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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.