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Finding the Fourth Proportional to 408.98, 612.51 and 213.52

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Solution

The fourth proportional to 408.98, 612.51 and 213.52 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 612.51 = 213.52 : x
  2. Step 2: Convert to fraction form
    408.98/612.51 = 213.52/x
  3. Step 3: Cross multiply
    408.98x = 612.51 × 213.52
  4. Step 4: Simplify right side
    408.98x = 130,783.15
  5. Step 5: Solve for x
    x = 130,783.15/408.98
  6. Step 6: Final answer
    x = 319.78

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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.