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Finding the Fourth Proportional to 97.20, 138.24 and 97.20

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Solution

The fourth proportional to 97.20, 138.24 and 97.20 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.20 : 138.24 = 97.20 : x
  2. Step 2: Convert to fraction form
    97.20/138.24 = 97.20/x
  3. Step 3: Cross multiply
    97.20x = 138.24 × 97.20
  4. Step 4: Simplify right side
    97.20x = 13,436.93
  5. Step 5: Solve for x
    x = 13,436.93/97.20
  6. Step 6: Final answer
    x = 138.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.