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Finding the Fourth Proportional to 324.26, 447.43 and 206.30

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Solution

The fourth proportional to 324.26, 447.43 and 206.30 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.26 : 447.43 = 206.30 : x
  2. Step 2: Convert to fraction form
    324.26/447.43 = 206.30/x
  3. Step 3: Cross multiply
    324.26x = 447.43 × 206.30
  4. Step 4: Simplify right side
    324.26x = 92,304.81
  5. Step 5: Solve for x
    x = 92,304.81/324.26
  6. Step 6: Final answer
    x = 284.66

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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.