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Finding the Fourth Proportional to 281.92, 389.12 and 212

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Solution

The fourth proportional to 281.92, 389.12 and 212 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 389.12 = 212 : x
  2. Step 2: Convert to fraction form
    281.92/389.12 = 212/x
  3. Step 3: Cross multiply
    281.92x = 389.12 × 212
  4. Step 4: Simplify right side
    281.92x = 82,493.44
  5. Step 5: Solve for x
    x = 82,493.44/281.92
  6. Step 6: Final answer
    x = 292.61

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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.