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Finding the Fourth Proportional to 285.92, 394.31 and 212.42

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Solution

The fourth proportional to 285.92, 394.31 and 212.42 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.31 = 212.42 : x
  2. Step 2: Convert to fraction form
    285.92/394.31 = 212.42/x
  3. Step 3: Cross multiply
    285.92x = 394.31 × 212.42
  4. Step 4: Simplify right side
    285.92x = 83,759.33
  5. Step 5: Solve for x
    x = 83,759.33/285.92
  6. Step 6: Final answer
    x = 292.95

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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.