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Finding the Fourth Proportional to 324.09, 447.09 and 199.50

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Solution

The fourth proportional to 324.09, 447.09 and 199.50 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 447.09 = 199.50 : x
  2. Step 2: Convert to fraction form
    324.09/447.09 = 199.50/x
  3. Step 3: Cross multiply
    324.09x = 447.09 × 199.50
  4. Step 4: Simplify right side
    324.09x = 89,194.46
  5. Step 5: Solve for x
    x = 89,194.46/324.09
  6. Step 6: Final answer
    x = 275.22

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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.