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Finding the Fourth Proportional to 83.66, 114.78 and 80.42

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Solution

The fourth proportional to 83.66, 114.78 and 80.42 is: 110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.66 : 114.78 = 80.42 : x
  2. Step 2: Convert to fraction form
    83.66/114.78 = 80.42/x
  3. Step 3: Cross multiply
    83.66x = 114.78 × 80.42
  4. Step 4: Simplify right side
    83.66x = 9,230.34
  5. Step 5: Solve for x
    x = 9,230.34/83.66
  6. Step 6: Final answer
    x = 110.34

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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.