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Finding the Fourth Proportional to 323.28, 446.42 and 288.31

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Solution

The fourth proportional to 323.28, 446.42 and 288.31 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.28 : 446.42 = 288.31 : x
  2. Step 2: Convert to fraction form
    323.28/446.42 = 288.31/x
  3. Step 3: Cross multiply
    323.28x = 446.42 × 288.31
  4. Step 4: Simplify right side
    323.28x = 128,707.35
  5. Step 5: Solve for x
    x = 128,707.35/323.28
  6. Step 6: Final answer
    x = 398.13

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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.