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Finding the Fourth Proportional to 408.12, 612.18 and 119.56

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Solution

The fourth proportional to 408.12, 612.18 and 119.56 is: 179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 612.18 = 119.56 : x
  2. Step 2: Convert to fraction form
    408.12/612.18 = 119.56/x
  3. Step 3: Cross multiply
    408.12x = 612.18 × 119.56
  4. Step 4: Simplify right side
    408.12x = 73,190.71
  5. Step 5: Solve for x
    x = 73,190.71/408.12
  6. Step 6: Final answer
    x = 179.34

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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.