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Finding the Fourth Proportional to 323.79, 446.46 and 213.09

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Solution

The fourth proportional to 323.79, 446.46 and 213.09 is: 293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.79 : 446.46 = 213.09 : x
  2. Step 2: Convert to fraction form
    323.79/446.46 = 213.09/x
  3. Step 3: Cross multiply
    323.79x = 446.46 × 213.09
  4. Step 4: Simplify right side
    323.79x = 95,136.16
  5. Step 5: Solve for x
    x = 95,136.16/323.79
  6. Step 6: Final answer
    x = 293.82

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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.