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Finding the Fourth Proportional to 324.28, 447.56 and 206.35

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Solution

The fourth proportional to 324.28, 447.56 and 206.35 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.28 : 447.56 = 206.35 : x
  2. Step 2: Convert to fraction form
    324.28/447.56 = 206.35/x
  3. Step 3: Cross multiply
    324.28x = 447.56 × 206.35
  4. Step 4: Simplify right side
    324.28x = 92,352.97
  5. Step 5: Solve for x
    x = 92,352.97/324.28
  6. Step 6: Final answer
    x = 284.79

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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.