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Finding the Fourth Proportional to 408.33, 612.14 and 213.22

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Solution

The fourth proportional to 408.33, 612.14 and 213.22 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.33 : 612.14 = 213.22 : x
  2. Step 2: Convert to fraction form
    408.33/612.14 = 213.22/x
  3. Step 3: Cross multiply
    408.33x = 612.14 × 213.22
  4. Step 4: Simplify right side
    408.33x = 130,520.49
  5. Step 5: Solve for x
    x = 130,520.49/408.33
  6. Step 6: Final answer
    x = 319.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.