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Finding the Fourth Proportional to 324.46, 486.96 and 132.22

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Solution

The fourth proportional to 324.46, 486.96 and 132.22 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.46 : 486.96 = 132.22 : x
  2. Step 2: Convert to fraction form
    324.46/486.96 = 132.22/x
  3. Step 3: Cross multiply
    324.46x = 486.96 × 132.22
  4. Step 4: Simplify right side
    324.46x = 64,382.76
  5. Step 5: Solve for x
    x = 64,382.76/324.46
  6. Step 6: Final answer
    x = 198.43

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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.