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Finding the Fourth Proportional to 278.77, 418.18 and 116.47

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Solution

The fourth proportional to 278.77, 418.18 and 116.47 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.77 : 418.18 = 116.47 : x
  2. Step 2: Convert to fraction form
    278.77/418.18 = 116.47/x
  3. Step 3: Cross multiply
    278.77x = 418.18 × 116.47
  4. Step 4: Simplify right side
    278.77x = 48,705.42
  5. Step 5: Solve for x
    x = 48,705.42/278.77
  6. Step 6: Final answer
    x = 174.72

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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.