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Finding the Fourth Proportional to 408.36, 612.24 and 225.60

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Solution

The fourth proportional to 408.36, 612.24 and 225.60 is: 338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 612.24 = 225.60 : x
  2. Step 2: Convert to fraction form
    408.36/612.24 = 225.60/x
  3. Step 3: Cross multiply
    408.36x = 612.24 × 225.60
  4. Step 4: Simplify right side
    408.36x = 138,121.34
  5. Step 5: Solve for x
    x = 138,121.34/408.36
  6. Step 6: Final answer
    x = 338.23

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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.