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Finding the Fourth Proportional to 278.26, 417.36 and 115.86

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Solution

The fourth proportional to 278.26, 417.36 and 115.86 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 417.36 = 115.86 : x
  2. Step 2: Convert to fraction form
    278.26/417.36 = 115.86/x
  3. Step 3: Cross multiply
    278.26x = 417.36 × 115.86
  4. Step 4: Simplify right side
    278.26x = 48,355.33
  5. Step 5: Solve for x
    x = 48,355.33/278.26
  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.