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Finding the Fourth Proportional to 91.20, 136.50 and 65.42

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Solution

The fourth proportional to 91.20, 136.50 and 65.42 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.20 : 136.50 = 65.42 : x
  2. Step 2: Convert to fraction form
    91.20/136.50 = 65.42/x
  3. Step 3: Cross multiply
    91.20x = 136.50 × 65.42
  4. Step 4: Simplify right side
    91.20x = 8,929.83
  5. Step 5: Solve for x
    x = 8,929.83/91.20
  6. Step 6: Final answer
    x = 97.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.