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Finding the Fourth Proportional to 444.97, 667.49 and 213.96

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Solution

The fourth proportional to 444.97, 667.49 and 213.96 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 667.49 = 213.96 : x
  2. Step 2: Convert to fraction form
    444.97/667.49 = 213.96/x
  3. Step 3: Cross multiply
    444.97x = 667.49 × 213.96
  4. Step 4: Simplify right side
    444.97x = 142,816.16
  5. Step 5: Solve for x
    x = 142,816.16/444.97
  6. Step 6: Final answer
    x = 320.96

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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.