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Finding the Fourth Proportional to 97.20, 145.19 and 74.12

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Solution

The fourth proportional to 97.20, 145.19 and 74.12 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.20 : 145.19 = 74.12 : x
  2. Step 2: Convert to fraction form
    97.20/145.19 = 74.12/x
  3. Step 3: Cross multiply
    97.20x = 145.19 × 74.12
  4. Step 4: Simplify right side
    97.20x = 10,760.94
  5. Step 5: Solve for x
    x = 10,760.94/97.20
  6. Step 6: Final answer
    x = 110.71

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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.