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Finding the Fourth Proportional to 300.57, 449.78 and 218.40

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Solution

The fourth proportional to 300.57, 449.78 and 218.40 is: 326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 449.78 = 218.40 : x
  2. Step 2: Convert to fraction form
    300.57/449.78 = 218.40/x
  3. Step 3: Cross multiply
    300.57x = 449.78 × 218.40
  4. Step 4: Simplify right side
    300.57x = 98,231.95
  5. Step 5: Solve for x
    x = 98,231.95/300.57
  6. Step 6: Final answer
    x = 326.82

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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.