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Finding the Fourth Proportional to 300.68, 415.11 and 212.14

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Solution

The fourth proportional to 300.68, 415.11 and 212.14 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 415.11 = 212.14 : x
  2. Step 2: Convert to fraction form
    300.68/415.11 = 212.14/x
  3. Step 3: Cross multiply
    300.68x = 415.11 × 212.14
  4. Step 4: Simplify right side
    300.68x = 88,061.44
  5. Step 5: Solve for x
    x = 88,061.44/300.68
  6. Step 6: Final answer
    x = 292.87

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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.