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Finding the Fourth Proportional to 257.76, 353.49 and 249.78

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Solution

The fourth proportional to 257.76, 353.49 and 249.78 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 353.49 = 249.78 : x
  2. Step 2: Convert to fraction form
    257.76/353.49 = 249.78/x
  3. Step 3: Cross multiply
    257.76x = 353.49 × 249.78
  4. Step 4: Simplify right side
    257.76x = 88,294.73
  5. Step 5: Solve for x
    x = 88,294.73/257.76
  6. Step 6: Final answer
    x = 342.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.