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Finding the Fourth Proportional to 84.68, 116.17 and 82.64

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Solution

The fourth proportional to 84.68, 116.17 and 82.64 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.68 : 116.17 = 82.64 : x
  2. Step 2: Convert to fraction form
    84.68/116.17 = 82.64/x
  3. Step 3: Cross multiply
    84.68x = 116.17 × 82.64
  4. Step 4: Simplify right side
    84.68x = 9,600.29
  5. Step 5: Solve for x
    x = 9,600.29/84.68
  6. Step 6: Final answer
    x = 113.37

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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.