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Finding the Fourth Proportional to 82.31, 122.66 and 82.17

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Solution

The fourth proportional to 82.31, 122.66 and 82.17 is: 122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 122.66 = 82.17 : x
  2. Step 2: Convert to fraction form
    82.31/122.66 = 82.17/x
  3. Step 3: Cross multiply
    82.31x = 122.66 × 82.17
  4. Step 4: Simplify right side
    82.31x = 10,078.97
  5. Step 5: Solve for x
    x = 10,078.97/82.31
  6. Step 6: Final answer
    x = 122.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.