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Finding the Fourth Proportional to 322.89, 483.79 and 149.31

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Solution

The fourth proportional to 322.89, 483.79 and 149.31 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.89 : 483.79 = 149.31 : x
  2. Step 2: Convert to fraction form
    322.89/483.79 = 149.31/x
  3. Step 3: Cross multiply
    322.89x = 483.79 × 149.31
  4. Step 4: Simplify right side
    322.89x = 72,234.68
  5. Step 5: Solve for x
    x = 72,234.68/322.89
  6. Step 6: Final answer
    x = 223.71

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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.