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Finding the Fourth Proportional to 324.00, 447.19 and 213.49

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Solution

The fourth proportional to 324.00, 447.19 and 213.49 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.00 : 447.19 = 213.49 : x
  2. Step 2: Convert to fraction form
    324.00/447.19 = 213.49/x
  3. Step 3: Cross multiply
    324.00x = 447.19 × 213.49
  4. Step 4: Simplify right side
    324.00x = 95,470.01
  5. Step 5: Solve for x
    x = 95,470.01/324.00
  6. Step 6: Final answer
    x = 294.66

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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.