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Finding the Fourth Proportional to 300, 414.04 and 196.56

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Solution

The fourth proportional to 300, 414.04 and 196.56 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 414.04 = 196.56 : x
  2. Step 2: Convert to fraction form
    300/414.04 = 196.56/x
  3. Step 3: Cross multiply
    300x = 414.04 × 196.56
  4. Step 4: Simplify right side
    300x = 81,383.70
  5. Step 5: Solve for x
    x = 81,383.70/300
  6. Step 6: Final answer
    x = 271.28

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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.