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Finding the Fourth Proportional to 69.28, 103.91 and 36.74

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Solution

The fourth proportional to 69.28, 103.91 and 36.74 is: 55.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 103.91 = 36.74 : x
  2. Step 2: Convert to fraction form
    69.28/103.91 = 36.74/x
  3. Step 3: Cross multiply
    69.28x = 103.91 × 36.74
  4. Step 4: Simplify right side
    69.28x = 3,817.73
  5. Step 5: Solve for x
    x = 3,817.73/69.28
  6. Step 6: Final answer
    x = 55.11

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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.