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Finding the Fourth Proportional to 278.25, 417.24 and 115.89

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Solution

The fourth proportional to 278.25, 417.24 and 115.89 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 417.24 = 115.89 : x
  2. Step 2: Convert to fraction form
    278.25/417.24 = 115.89/x
  3. Step 3: Cross multiply
    278.25x = 417.24 × 115.89
  4. Step 4: Simplify right side
    278.25x = 48,353.94
  5. Step 5: Solve for x
    x = 48,353.94/278.25
  6. Step 6: Final answer
    x = 173.78

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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.