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Finding the Fourth Proportional to 47.75, 71.26 and 44.75

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Solution

The fourth proportional to 47.75, 71.26 and 44.75 is: 66.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 71.26 = 44.75 : x
  2. Step 2: Convert to fraction form
    47.75/71.26 = 44.75/x
  3. Step 3: Cross multiply
    47.75x = 71.26 × 44.75
  4. Step 4: Simplify right side
    47.75x = 3,188.95
  5. Step 5: Solve for x
    x = 3,188.95/47.75
  6. Step 6: Final answer
    x = 66.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.