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Finding the Fourth Proportional to 323.99, 447.07 and 176.62

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Solution

The fourth proportional to 323.99, 447.07 and 176.62 is: 243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 447.07 = 176.62 : x
  2. Step 2: Convert to fraction form
    323.99/447.07 = 176.62/x
  3. Step 3: Cross multiply
    323.99x = 447.07 × 176.62
  4. Step 4: Simplify right side
    323.99x = 78,959.94
  5. Step 5: Solve for x
    x = 78,959.94/323.99
  6. Step 6: Final answer
    x = 243.71

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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.