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Finding the Fourth Proportional to 83.02, 115.18 and 80.32

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Solution

The fourth proportional to 83.02, 115.18 and 80.32 is: 111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 115.18 = 80.32 : x
  2. Step 2: Convert to fraction form
    83.02/115.18 = 80.32/x
  3. Step 3: Cross multiply
    83.02x = 115.18 × 80.32
  4. Step 4: Simplify right side
    83.02x = 9,251.26
  5. Step 5: Solve for x
    x = 9,251.26/83.02
  6. Step 6: Final answer
    x = 111.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.