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Finding the Fourth Proportional to 447.27, 671.16 and 301.12

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Solution

The fourth proportional to 447.27, 671.16 and 301.12 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 671.16 = 301.12 : x
  2. Step 2: Convert to fraction form
    447.27/671.16 = 301.12/x
  3. Step 3: Cross multiply
    447.27x = 671.16 × 301.12
  4. Step 4: Simplify right side
    447.27x = 202,099.70
  5. Step 5: Solve for x
    x = 202,099.70/447.27
  6. Step 6: Final answer
    x = 451.85

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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.