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Finding the Fourth Proportional to 82.72, 113.24 and 80.28

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Solution

The fourth proportional to 82.72, 113.24 and 80.28 is: 109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 113.24 = 80.28 : x
  2. Step 2: Convert to fraction form
    82.72/113.24 = 80.28/x
  3. Step 3: Cross multiply
    82.72x = 113.24 × 80.28
  4. Step 4: Simplify right side
    82.72x = 9,090.91
  5. Step 5: Solve for x
    x = 9,090.91/82.72
  6. Step 6: Final answer
    x = 109.90

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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.