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Finding the Fourth Proportional to 84.13, 126.17 and 65

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Solution

The fourth proportional to 84.13, 126.17 and 65 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 126.17 = 65 : x
  2. Step 2: Convert to fraction form
    84.13/126.17 = 65/x
  3. Step 3: Cross multiply
    84.13x = 126.17 × 65
  4. Step 4: Simplify right side
    84.13x = 8,201.05
  5. Step 5: Solve for x
    x = 8,201.05/84.13
  6. Step 6: Final answer
    x = 97.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.