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Finding the Fourth Proportional to 97.24, 134.20 and 60.40

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Solution

The fourth proportional to 97.24, 134.20 and 60.40 is: 83.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 134.20 = 60.40 : x
  2. Step 2: Convert to fraction form
    97.24/134.20 = 60.40/x
  3. Step 3: Cross multiply
    97.24x = 134.20 × 60.40
  4. Step 4: Simplify right side
    97.24x = 8,105.68
  5. Step 5: Solve for x
    x = 8,105.68/97.24
  6. Step 6: Final answer
    x = 83.36

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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.