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Finding the Fourth Proportional to 47.27, 71.03 and 45.85

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Solution

The fourth proportional to 47.27, 71.03 and 45.85 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.27 : 71.03 = 45.85 : x
  2. Step 2: Convert to fraction form
    47.27/71.03 = 45.85/x
  3. Step 3: Cross multiply
    47.27x = 71.03 × 45.85
  4. Step 4: Simplify right side
    47.27x = 3,256.73
  5. Step 5: Solve for x
    x = 3,256.73/47.27
  6. Step 6: Final answer
    x = 68.90

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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.