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Finding the Fourth Proportional to 97.85, 135.17 and 84.18

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Solution

The fourth proportional to 97.85, 135.17 and 84.18 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 135.17 = 84.18 : x
  2. Step 2: Convert to fraction form
    97.85/135.17 = 84.18/x
  3. Step 3: Cross multiply
    97.85x = 135.17 × 84.18
  4. Step 4: Simplify right side
    97.85x = 11,378.19
  5. Step 5: Solve for x
    x = 11,378.19/97.85
  6. Step 6: Final answer
    x = 116.29

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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.