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Finding the Fourth Proportional to 84.18, 125.22 and 82.17

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Solution

The fourth proportional to 84.18, 125.22 and 82.17 is: 122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.18 : 125.22 = 82.17 : x
  2. Step 2: Convert to fraction form
    84.18/125.22 = 82.17/x
  3. Step 3: Cross multiply
    84.18x = 125.22 × 82.17
  4. Step 4: Simplify right side
    84.18x = 10,289.33
  5. Step 5: Solve for x
    x = 10,289.33/84.18
  6. Step 6: Final answer
    x = 122.23

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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.