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Finding the Fourth Proportional to 323.73, 446.27 and 310.97

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Solution

The fourth proportional to 323.73, 446.27 and 310.97 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 446.27 = 310.97 : x
  2. Step 2: Convert to fraction form
    323.73/446.27 = 310.97/x
  3. Step 3: Cross multiply
    323.73x = 446.27 × 310.97
  4. Step 4: Simplify right side
    323.73x = 138,776.14
  5. Step 5: Solve for x
    x = 138,776.14/323.73
  6. Step 6: Final answer
    x = 428.68

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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.