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Finding the Fourth Proportional to 324.13, 447.12 and 198.13

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Solution

The fourth proportional to 324.13, 447.12 and 198.13 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.13 : 447.12 = 198.13 : x
  2. Step 2: Convert to fraction form
    324.13/447.12 = 198.13/x
  3. Step 3: Cross multiply
    324.13x = 447.12 × 198.13
  4. Step 4: Simplify right side
    324.13x = 88,587.89
  5. Step 5: Solve for x
    x = 88,587.89/324.13
  6. Step 6: Final answer
    x = 273.31

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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.