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Finding the Fourth Proportional to 324.03, 447.17 and 199.65

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Solution

The fourth proportional to 324.03, 447.17 and 199.65 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.03 : 447.17 = 199.65 : x
  2. Step 2: Convert to fraction form
    324.03/447.17 = 199.65/x
  3. Step 3: Cross multiply
    324.03x = 447.17 × 199.65
  4. Step 4: Simplify right side
    324.03x = 89,276.49
  5. Step 5: Solve for x
    x = 89,276.49/324.03
  6. Step 6: Final answer
    x = 275.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.