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Finding the Fourth Proportional to 83.09, 114.68 and 49.91

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Solution

The fourth proportional to 83.09, 114.68 and 49.91 is: 68.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.68 = 49.91 : x
  2. Step 2: Convert to fraction form
    83.09/114.68 = 49.91/x
  3. Step 3: Cross multiply
    83.09x = 114.68 × 49.91
  4. Step 4: Simplify right side
    83.09x = 5,723.27
  5. Step 5: Solve for x
    x = 5,723.27/83.09
  6. Step 6: Final answer
    x = 68.88

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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.