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Finding the Fourth Proportional to 69.26, 95.57 and 39.74

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Solution

The fourth proportional to 69.26, 95.57 and 39.74 is: 54.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.26 : 95.57 = 39.74 : x
  2. Step 2: Convert to fraction form
    69.26/95.57 = 39.74/x
  3. Step 3: Cross multiply
    69.26x = 95.57 × 39.74
  4. Step 4: Simplify right side
    69.26x = 3,797.95
  5. Step 5: Solve for x
    x = 3,797.95/69.26
  6. Step 6: Final answer
    x = 54.84

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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.