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Finding the Fourth Proportional to 278.61, 417.80 and 187.28

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Solution

The fourth proportional to 278.61, 417.80 and 187.28 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 417.80 = 187.28 : x
  2. Step 2: Convert to fraction form
    278.61/417.80 = 187.28/x
  3. Step 3: Cross multiply
    278.61x = 417.80 × 187.28
  4. Step 4: Simplify right side
    278.61x = 78,242.56
  5. Step 5: Solve for x
    x = 78,242.56/278.61
  6. Step 6: Final answer
    x = 280.83

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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.