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Finding the Fourth Proportional to 101.35, 151.40 and 97.57

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Solution

The fourth proportional to 101.35, 151.40 and 97.57 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.35 : 151.40 = 97.57 : x
  2. Step 2: Convert to fraction form
    101.35/151.40 = 97.57/x
  3. Step 3: Cross multiply
    101.35x = 151.40 × 97.57
  4. Step 4: Simplify right side
    101.35x = 14,772.10
  5. Step 5: Solve for x
    x = 14,772.10/101.35
  6. Step 6: Final answer
    x = 145.75

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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.