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Finding the Fourth Proportional to 408.00, 612.02 and 119.44

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Solution

The fourth proportional to 408.00, 612.02 and 119.44 is: 179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.00 : 612.02 = 119.44 : x
  2. Step 2: Convert to fraction form
    408.00/612.02 = 119.44/x
  3. Step 3: Cross multiply
    408.00x = 612.02 × 119.44
  4. Step 4: Simplify right side
    408.00x = 73,099.97
  5. Step 5: Solve for x
    x = 73,099.97/408.00
  6. Step 6: Final answer
    x = 179.17

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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.