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Finding the Fourth Proportional to 84.92, 116.44 and 84.11

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Solution

The fourth proportional to 84.92, 116.44 and 84.11 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 116.44 = 84.11 : x
  2. Step 2: Convert to fraction form
    84.92/116.44 = 84.11/x
  3. Step 3: Cross multiply
    84.92x = 116.44 × 84.11
  4. Step 4: Simplify right side
    84.92x = 9,792.98
  5. Step 5: Solve for x
    x = 9,792.98/84.92
  6. Step 6: Final answer
    x = 115.33

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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.