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Finding the Fourth Proportional to 83.47, 115.14 and 54.40

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Solution

The fourth proportional to 83.47, 115.14 and 54.40 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.47 : 115.14 = 54.40 : x
  2. Step 2: Convert to fraction form
    83.47/115.14 = 54.40/x
  3. Step 3: Cross multiply
    83.47x = 115.14 × 54.40
  4. Step 4: Simplify right side
    83.47x = 6,263.62
  5. Step 5: Solve for x
    x = 6,263.62/83.47
  6. Step 6: Final answer
    x = 75.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.