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Finding the Fourth Proportional to 116.98, 161.36 and 84.17

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Solution

The fourth proportional to 116.98, 161.36 and 84.17 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 161.36 = 84.17 : x
  2. Step 2: Convert to fraction form
    116.98/161.36 = 84.17/x
  3. Step 3: Cross multiply
    116.98x = 161.36 × 84.17
  4. Step 4: Simplify right side
    116.98x = 13,581.97
  5. Step 5: Solve for x
    x = 13,581.97/116.98
  6. Step 6: Final answer
    x = 116.11

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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.