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Finding the Fourth Proportional to 82.82, 113.46 and 79.74

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Solution

The fourth proportional to 82.82, 113.46 and 79.74 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.82 : 113.46 = 79.74 : x
  2. Step 2: Convert to fraction form
    82.82/113.46 = 79.74/x
  3. Step 3: Cross multiply
    82.82x = 113.46 × 79.74
  4. Step 4: Simplify right side
    82.82x = 9,046.90
  5. Step 5: Solve for x
    x = 9,046.90/82.82
  6. Step 6: Final answer
    x = 109.24

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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.