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Finding the Fourth Proportional to 84.38, 116.43 and 82.17

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Solution

The fourth proportional to 84.38, 116.43 and 82.17 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 116.43 = 82.17 : x
  2. Step 2: Convert to fraction form
    84.38/116.43 = 82.17/x
  3. Step 3: Cross multiply
    84.38x = 116.43 × 82.17
  4. Step 4: Simplify right side
    84.38x = 9,567.05
  5. Step 5: Solve for x
    x = 9,567.05/84.38
  6. Step 6: Final answer
    x = 113.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.