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Finding the Fourth Proportional to 323.43, 446.49 and 302.71

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Solution

The fourth proportional to 323.43, 446.49 and 302.71 is: 417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.43 : 446.49 = 302.71 : x
  2. Step 2: Convert to fraction form
    323.43/446.49 = 302.71/x
  3. Step 3: Cross multiply
    323.43x = 446.49 × 302.71
  4. Step 4: Simplify right side
    323.43x = 135,155.87
  5. Step 5: Solve for x
    x = 135,155.87/323.43
  6. Step 6: Final answer
    x = 417.88

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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.