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Finding the Fourth Proportional to 408.49, 613.43 and 272.41

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Solution

The fourth proportional to 408.49, 613.43 and 272.41 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.49 : 613.43 = 272.41 : x
  2. Step 2: Convert to fraction form
    408.49/613.43 = 272.41/x
  3. Step 3: Cross multiply
    408.49x = 613.43 × 272.41
  4. Step 4: Simplify right side
    408.49x = 167,103.61
  5. Step 5: Solve for x
    x = 167,103.61/408.49
  6. Step 6: Final answer
    x = 409.08

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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.