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Finding the Fourth Proportional to 300.88, 415.42 and 196.12

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Solution

The fourth proportional to 300.88, 415.42 and 196.12 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 415.42 = 196.12 : x
  2. Step 2: Convert to fraction form
    300.88/415.42 = 196.12/x
  3. Step 3: Cross multiply
    300.88x = 415.42 × 196.12
  4. Step 4: Simplify right side
    300.88x = 81,472.17
  5. Step 5: Solve for x
    x = 81,472.17/300.88
  6. Step 6: Final answer
    x = 270.78

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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.