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Finding the Fourth Proportional to 323.78, 446.75 and 199.54

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Solution

The fourth proportional to 323.78, 446.75 and 199.54 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 446.75 = 199.54 : x
  2. Step 2: Convert to fraction form
    323.78/446.75 = 199.54/x
  3. Step 3: Cross multiply
    323.78x = 446.75 × 199.54
  4. Step 4: Simplify right side
    323.78x = 89,144.80
  5. Step 5: Solve for x
    x = 89,144.80/323.78
  6. Step 6: Final answer
    x = 275.33

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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.