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Finding the Fourth Proportional to 278.43, 415.27 and 249.27

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Solution

The fourth proportional to 278.43, 415.27 and 249.27 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 415.27 = 249.27 : x
  2. Step 2: Convert to fraction form
    278.43/415.27 = 249.27/x
  3. Step 3: Cross multiply
    278.43x = 415.27 × 249.27
  4. Step 4: Simplify right side
    278.43x = 103,514.35
  5. Step 5: Solve for x
    x = 103,514.35/278.43
  6. Step 6: Final answer
    x = 371.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.