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Finding the Fourth Proportional to 408.90, 611.94 and 252.68

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Solution

The fourth proportional to 408.90, 611.94 and 252.68 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 611.94 = 252.68 : x
  2. Step 2: Convert to fraction form
    408.90/611.94 = 252.68/x
  3. Step 3: Cross multiply
    408.90x = 611.94 × 252.68
  4. Step 4: Simplify right side
    408.90x = 154,621.94
  5. Step 5: Solve for x
    x = 154,621.94/408.90
  6. Step 6: Final answer
    x = 378.14

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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.