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Finding the Fourth Proportional to 101.16, 140.19 and 97.96

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Solution

The fourth proportional to 101.16, 140.19 and 97.96 is: 135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 140.19 = 97.96 : x
  2. Step 2: Convert to fraction form
    101.16/140.19 = 97.96/x
  3. Step 3: Cross multiply
    101.16x = 140.19 × 97.96
  4. Step 4: Simplify right side
    101.16x = 13,733.01
  5. Step 5: Solve for x
    x = 13,733.01/101.16
  6. Step 6: Final answer
    x = 135.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.