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Finding the Fourth Proportional to 300.41, 414.33 and 200.78

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Solution

The fourth proportional to 300.41, 414.33 and 200.78 is: 276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 414.33 = 200.78 : x
  2. Step 2: Convert to fraction form
    300.41/414.33 = 200.78/x
  3. Step 3: Cross multiply
    300.41x = 414.33 × 200.78
  4. Step 4: Simplify right side
    300.41x = 83,189.18
  5. Step 5: Solve for x
    x = 83,189.18/300.41
  6. Step 6: Final answer
    x = 276.92

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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.