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Finding the Fourth Proportional to 408.89, 613.43 and 134.97

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Solution

The fourth proportional to 408.89, 613.43 and 134.97 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.89 : 613.43 = 134.97 : x
  2. Step 2: Convert to fraction form
    408.89/613.43 = 134.97/x
  3. Step 3: Cross multiply
    408.89x = 613.43 × 134.97
  4. Step 4: Simplify right side
    408.89x = 82,794.65
  5. Step 5: Solve for x
    x = 82,794.65/408.89
  6. Step 6: Final answer
    x = 202.49

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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.