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Finding the Fourth Proportional to 47.66, 71.03 and 44.78

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Solution

The fourth proportional to 47.66, 71.03 and 44.78 is: 66.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.66 : 71.03 = 44.78 : x
  2. Step 2: Convert to fraction form
    47.66/71.03 = 44.78/x
  3. Step 3: Cross multiply
    47.66x = 71.03 × 44.78
  4. Step 4: Simplify right side
    47.66x = 3,180.43
  5. Step 5: Solve for x
    x = 3,180.43/47.66
  6. Step 6: Final answer
    x = 66.73

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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.