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Finding the Fourth Proportional to 323.52, 446.09 and 212.94

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Solution

The fourth proportional to 323.52, 446.09 and 212.94 is: 293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 446.09 = 212.94 : x
  2. Step 2: Convert to fraction form
    323.52/446.09 = 212.94/x
  3. Step 3: Cross multiply
    323.52x = 446.09 × 212.94
  4. Step 4: Simplify right side
    323.52x = 94,989.34
  5. Step 5: Solve for x
    x = 94,989.34/323.52
  6. Step 6: Final answer
    x = 293.61

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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.