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Finding the Fourth Proportional to 300.87, 451.55 and 219.78

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Solution

The fourth proportional to 300.87, 451.55 and 219.78 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.87 : 451.55 = 219.78 : x
  2. Step 2: Convert to fraction form
    300.87/451.55 = 219.78/x
  3. Step 3: Cross multiply
    300.87x = 451.55 × 219.78
  4. Step 4: Simplify right side
    300.87x = 99,240.56
  5. Step 5: Solve for x
    x = 99,240.56/300.87
  6. Step 6: Final answer
    x = 329.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.