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Finding the Fourth Proportional to 300.88, 414.78 and 217.86

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Solution

The fourth proportional to 300.88, 414.78 and 217.86 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 414.78 = 217.86 : x
  2. Step 2: Convert to fraction form
    300.88/414.78 = 217.86/x
  3. Step 3: Cross multiply
    300.88x = 414.78 × 217.86
  4. Step 4: Simplify right side
    300.88x = 90,363.97
  5. Step 5: Solve for x
    x = 90,363.97/300.88
  6. Step 6: Final answer
    x = 300.33

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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.