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Finding the Fourth Proportional to 323.22, 445.71 and 205.14

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Solution

The fourth proportional to 323.22, 445.71 and 205.14 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.22 : 445.71 = 205.14 : x
  2. Step 2: Convert to fraction form
    323.22/445.71 = 205.14/x
  3. Step 3: Cross multiply
    323.22x = 445.71 × 205.14
  4. Step 4: Simplify right side
    323.22x = 91,432.95
  5. Step 5: Solve for x
    x = 91,432.95/323.22
  6. Step 6: Final answer
    x = 282.88

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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.