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Finding the Fourth Proportional to 225.45, 308.97 and 225.09

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Solution

The fourth proportional to 225.45, 308.97 and 225.09 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 308.97 = 225.09 : x
  2. Step 2: Convert to fraction form
    225.45/308.97 = 225.09/x
  3. Step 3: Cross multiply
    225.45x = 308.97 × 225.09
  4. Step 4: Simplify right side
    225.45x = 69,546.06
  5. Step 5: Solve for x
    x = 69,546.06/225.45
  6. Step 6: Final answer
    x = 308.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.