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Finding the Fourth Proportional to 408.62, 613.02 and 120.05

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Solution

The fourth proportional to 408.62, 613.02 and 120.05 is: 180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.62 : 613.02 = 120.05 : x
  2. Step 2: Convert to fraction form
    408.62/613.02 = 120.05/x
  3. Step 3: Cross multiply
    408.62x = 613.02 × 120.05
  4. Step 4: Simplify right side
    408.62x = 73,593.05
  5. Step 5: Solve for x
    x = 73,593.05/408.62
  6. Step 6: Final answer
    x = 180.10

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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.