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Finding the Fourth Proportional to 83.28, 115 and 54.22

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Solution

The fourth proportional to 83.28, 115 and 54.22 is: 74.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.28 : 115 = 54.22 : x
  2. Step 2: Convert to fraction form
    83.28/115 = 54.22/x
  3. Step 3: Cross multiply
    83.28x = 115 × 54.22
  4. Step 4: Simplify right side
    83.28x = 6,235.30
  5. Step 5: Solve for x
    x = 6,235.30/83.28
  6. Step 6: Final answer
    x = 74.87

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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.