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Finding the Fourth Proportional to 300.90, 414.21 and 217.92

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Solution

The fourth proportional to 300.90, 414.21 and 217.92 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 414.21 = 217.92 : x
  2. Step 2: Convert to fraction form
    300.90/414.21 = 217.92/x
  3. Step 3: Cross multiply
    300.90x = 414.21 × 217.92
  4. Step 4: Simplify right side
    300.90x = 90,264.64
  5. Step 5: Solve for x
    x = 90,264.64/300.90
  6. Step 6: Final answer
    x = 299.98

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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.