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Finding the Fourth Proportional to 400.12, 600.02 and 226.60

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Solution

The fourth proportional to 400.12, 600.02 and 226.60 is: 339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 600.02 = 226.60 : x
  2. Step 2: Convert to fraction form
    400.12/600.02 = 226.60/x
  3. Step 3: Cross multiply
    400.12x = 600.02 × 226.60
  4. Step 4: Simplify right side
    400.12x = 135,964.53
  5. Step 5: Solve for x
    x = 135,964.53/400.12
  6. Step 6: Final answer
    x = 339.81

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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.