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Finding the Fourth Proportional to 323.72, 446.73 and 192.73

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Solution

The fourth proportional to 323.72, 446.73 and 192.73 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.72 : 446.73 = 192.73 : x
  2. Step 2: Convert to fraction form
    323.72/446.73 = 192.73/x
  3. Step 3: Cross multiply
    323.72x = 446.73 × 192.73
  4. Step 4: Simplify right side
    323.72x = 86,098.27
  5. Step 5: Solve for x
    x = 86,098.27/323.72
  6. Step 6: Final answer
    x = 265.97

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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.