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Finding the Fourth Proportional to 445.27, 667.89 and 315.46

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Solution

The fourth proportional to 445.27, 667.89 and 315.46 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.27 : 667.89 = 315.46 : x
  2. Step 2: Convert to fraction form
    445.27/667.89 = 315.46/x
  3. Step 3: Cross multiply
    445.27x = 667.89 × 315.46
  4. Step 4: Simplify right side
    445.27x = 210,692.58
  5. Step 5: Solve for x
    x = 210,692.58/445.27
  6. Step 6: Final answer
    x = 473.18

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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.