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Finding the Fourth Proportional to 101.70, 151.61 and 97.16

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Solution

The fourth proportional to 101.70, 151.61 and 97.16 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 151.61 = 97.16 : x
  2. Step 2: Convert to fraction form
    101.70/151.61 = 97.16/x
  3. Step 3: Cross multiply
    101.70x = 151.61 × 97.16
  4. Step 4: Simplify right side
    101.70x = 14,729.18
  5. Step 5: Solve for x
    x = 14,729.18/101.70
  6. Step 6: Final answer
    x = 144.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.