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Finding the Fourth Proportional to 83.50, 115.27 and 75.69

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Solution

The fourth proportional to 83.50, 115.27 and 75.69 is: 104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 115.27 = 75.69 : x
  2. Step 2: Convert to fraction form
    83.50/115.27 = 75.69/x
  3. Step 3: Cross multiply
    83.50x = 115.27 × 75.69
  4. Step 4: Simplify right side
    83.50x = 8,724.60
  5. Step 5: Solve for x
    x = 8,724.60/83.50
  6. Step 6: Final answer
    x = 104.49

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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.