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Finding the Fourth Proportional to 324.58, 447.78 and 200.20

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Solution

The fourth proportional to 324.58, 447.78 and 200.20 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.58 : 447.78 = 200.20 : x
  2. Step 2: Convert to fraction form
    324.58/447.78 = 200.20/x
  3. Step 3: Cross multiply
    324.58x = 447.78 × 200.20
  4. Step 4: Simplify right side
    324.58x = 89,645.56
  5. Step 5: Solve for x
    x = 89,645.56/324.58
  6. Step 6: Final answer
    x = 276.19

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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.