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Finding the Fourth Proportional to 408.09, 612.15 and 119.52

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Solution

The fourth proportional to 408.09, 612.15 and 119.52 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 612.15 = 119.52 : x
  2. Step 2: Convert to fraction form
    408.09/612.15 = 119.52/x
  3. Step 3: Cross multiply
    408.09x = 612.15 × 119.52
  4. Step 4: Simplify right side
    408.09x = 73,164.17
  5. Step 5: Solve for x
    x = 73,164.17/408.09
  6. Step 6: Final answer
    x = 179.28

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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.