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Finding the Fourth Proportional to 82.89, 113.55 and 80.28

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Solution

The fourth proportional to 82.89, 113.55 and 80.28 is: 109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.89 : 113.55 = 80.28 : x
  2. Step 2: Convert to fraction form
    82.89/113.55 = 80.28/x
  3. Step 3: Cross multiply
    82.89x = 113.55 × 80.28
  4. Step 4: Simplify right side
    82.89x = 9,115.49
  5. Step 5: Solve for x
    x = 9,115.49/82.89
  6. Step 6: Final answer
    x = 109.97

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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.