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Finding the Fourth Proportional to 97.62, 134.51 and 79.20

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Solution

The fourth proportional to 97.62, 134.51 and 79.20 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 134.51 = 79.20 : x
  2. Step 2: Convert to fraction form
    97.62/134.51 = 79.20/x
  3. Step 3: Cross multiply
    97.62x = 134.51 × 79.20
  4. Step 4: Simplify right side
    97.62x = 10,652.80
  5. Step 5: Solve for x
    x = 10,652.80/97.62
  6. Step 6: Final answer
    x = 109.13

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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.