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Finding the Fourth Proportional to 408.22, 612.87 and 213.37

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Solution

The fourth proportional to 408.22, 612.87 and 213.37 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 612.87 = 213.37 : x
  2. Step 2: Convert to fraction form
    408.22/612.87 = 213.37/x
  3. Step 3: Cross multiply
    408.22x = 612.87 × 213.37
  4. Step 4: Simplify right side
    408.22x = 130,768.07
  5. Step 5: Solve for x
    x = 130,768.07/408.22
  6. Step 6: Final answer
    x = 320.34

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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.