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Finding the Fourth Proportional to 323.86, 447.03 and 207.42

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Solution

The fourth proportional to 323.86, 447.03 and 207.42 is: 286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.86 : 447.03 = 207.42 : x
  2. Step 2: Convert to fraction form
    323.86/447.03 = 207.42/x
  3. Step 3: Cross multiply
    323.86x = 447.03 × 207.42
  4. Step 4: Simplify right side
    323.86x = 92,721.93
  5. Step 5: Solve for x
    x = 92,721.93/323.86
  6. Step 6: Final answer
    x = 286.30

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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.