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Finding the Fourth Proportional to 323.20, 445.28 and 273.92

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Solution

The fourth proportional to 323.20, 445.28 and 273.92 is: 377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 445.28 = 273.92 : x
  2. Step 2: Convert to fraction form
    323.20/445.28 = 273.92/x
  3. Step 3: Cross multiply
    323.20x = 445.28 × 273.92
  4. Step 4: Simplify right side
    323.20x = 121,971.10
  5. Step 5: Solve for x
    x = 121,971.10/323.20
  6. Step 6: Final answer
    x = 377.39

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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.