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Finding the Fourth Proportional to 84.46, 116.49 and 82.48

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Solution

The fourth proportional to 84.46, 116.49 and 82.48 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.46 : 116.49 = 82.48 : x
  2. Step 2: Convert to fraction form
    84.46/116.49 = 82.48/x
  3. Step 3: Cross multiply
    84.46x = 116.49 × 82.48
  4. Step 4: Simplify right side
    84.46x = 9,608.10
  5. Step 5: Solve for x
    x = 9,608.10/84.46
  6. Step 6: Final answer
    x = 113.76

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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.