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Finding the Fourth Proportional to 408.91, 612.15 and 254.33

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Solution

The fourth proportional to 408.91, 612.15 and 254.33 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.91 : 612.15 = 254.33 : x
  2. Step 2: Convert to fraction form
    408.91/612.15 = 254.33/x
  3. Step 3: Cross multiply
    408.91x = 612.15 × 254.33
  4. Step 4: Simplify right side
    408.91x = 155,688.11
  5. Step 5: Solve for x
    x = 155,688.11/408.91
  6. Step 6: Final answer
    x = 380.74

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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.