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Finding the Fourth Proportional to 442.92, 611.17 and 256.39

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Solution

The fourth proportional to 442.92, 611.17 and 256.39 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 611.17 = 256.39 : x
  2. Step 2: Convert to fraction form
    442.92/611.17 = 256.39/x
  3. Step 3: Cross multiply
    442.92x = 611.17 × 256.39
  4. Step 4: Simplify right side
    442.92x = 156,697.88
  5. Step 5: Solve for x
    x = 156,697.88/442.92
  6. Step 6: Final answer
    x = 353.78

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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.