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Finding the Fourth Proportional to 323.69, 446.20 and 276.71

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Solution

The fourth proportional to 323.69, 446.20 and 276.71 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.69 : 446.20 = 276.71 : x
  2. Step 2: Convert to fraction form
    323.69/446.20 = 276.71/x
  3. Step 3: Cross multiply
    323.69x = 446.20 × 276.71
  4. Step 4: Simplify right side
    323.69x = 123,468.00
  5. Step 5: Solve for x
    x = 123,468.00/323.69
  6. Step 6: Final answer
    x = 381.44

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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.