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Finding the Fourth Proportional to 408.26, 612.41 and 213.10

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Solution

The fourth proportional to 408.26, 612.41 and 213.10 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 612.41 = 213.10 : x
  2. Step 2: Convert to fraction form
    408.26/612.41 = 213.10/x
  3. Step 3: Cross multiply
    408.26x = 612.41 × 213.10
  4. Step 4: Simplify right side
    408.26x = 130,501.97
  5. Step 5: Solve for x
    x = 130,501.97/408.26
  6. Step 6: Final answer
    x = 319.65

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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.