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Finding the Fourth Proportional to 300.80, 414.72 and 202.24

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Solution

The fourth proportional to 300.80, 414.72 and 202.24 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 414.72 = 202.24 : x
  2. Step 2: Convert to fraction form
    300.80/414.72 = 202.24/x
  3. Step 3: Cross multiply
    300.80x = 414.72 × 202.24
  4. Step 4: Simplify right side
    300.80x = 83,872.97
  5. Step 5: Solve for x
    x = 83,872.97/300.80
  6. Step 6: Final answer
    x = 278.83

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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.