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Finding the Fourth Proportional to 83.42, 114.49 and 76.49

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Solution

The fourth proportional to 83.42, 114.49 and 76.49 is: 104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 114.49 = 76.49 : x
  2. Step 2: Convert to fraction form
    83.42/114.49 = 76.49/x
  3. Step 3: Cross multiply
    83.42x = 114.49 × 76.49
  4. Step 4: Simplify right side
    83.42x = 8,757.82
  5. Step 5: Solve for x
    x = 8,757.82/83.42
  6. Step 6: Final answer
    x = 104.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.