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Finding the Fourth Proportional to 225.54, 338.25 and 200.22

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Solution

The fourth proportional to 225.54, 338.25 and 200.22 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 338.25 = 200.22 : x
  2. Step 2: Convert to fraction form
    225.54/338.25 = 200.22/x
  3. Step 3: Cross multiply
    225.54x = 338.25 × 200.22
  4. Step 4: Simplify right side
    225.54x = 67,724.42
  5. Step 5: Solve for x
    x = 67,724.42/225.54
  6. Step 6: Final answer
    x = 300.28

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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.