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Finding the Fourth Proportional to 97.28, 134.24 and 68.16

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Solution

The fourth proportional to 97.28, 134.24 and 68.16 is: 94.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.28 : 134.24 = 68.16 : x
  2. Step 2: Convert to fraction form
    97.28/134.24 = 68.16/x
  3. Step 3: Cross multiply
    97.28x = 134.24 × 68.16
  4. Step 4: Simplify right side
    97.28x = 9,149.80
  5. Step 5: Solve for x
    x = 9,149.80/97.28
  6. Step 6: Final answer
    x = 94.06

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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.