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Finding the Fourth Proportional to 97.74, 135.27 and 83.97

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Solution

The fourth proportional to 97.74, 135.27 and 83.97 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 135.27 = 83.97 : x
  2. Step 2: Convert to fraction form
    97.74/135.27 = 83.97/x
  3. Step 3: Cross multiply
    97.74x = 135.27 × 83.97
  4. Step 4: Simplify right side
    97.74x = 11,358.62
  5. Step 5: Solve for x
    x = 11,358.62/97.74
  6. Step 6: Final answer
    x = 116.21

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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.