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Finding the Fourth Proportional to 278.58, 415.76 and 271.29

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Solution

The fourth proportional to 278.58, 415.76 and 271.29 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 415.76 = 271.29 : x
  2. Step 2: Convert to fraction form
    278.58/415.76 = 271.29/x
  3. Step 3: Cross multiply
    278.58x = 415.76 × 271.29
  4. Step 4: Simplify right side
    278.58x = 112,790.17
  5. Step 5: Solve for x
    x = 112,790.17/278.58
  6. Step 6: Final answer
    x = 404.88

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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.