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Finding the Fourth Proportional to 444.67, 667.08 and 213.41

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Solution

The fourth proportional to 444.67, 667.08 and 213.41 is: 320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.67 : 667.08 = 213.41 : x
  2. Step 2: Convert to fraction form
    444.67/667.08 = 213.41/x
  3. Step 3: Cross multiply
    444.67x = 667.08 × 213.41
  4. Step 4: Simplify right side
    444.67x = 142,363.21
  5. Step 5: Solve for x
    x = 142,363.21/444.67
  6. Step 6: Final answer
    x = 320.16

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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.