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Finding the Fourth Proportional to 225.30, 308.81 and 217.09

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Solution

The fourth proportional to 225.30, 308.81 and 217.09 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.30 : 308.81 = 217.09 : x
  2. Step 2: Convert to fraction form
    225.30/308.81 = 217.09/x
  3. Step 3: Cross multiply
    225.30x = 308.81 × 217.09
  4. Step 4: Simplify right side
    225.30x = 67,039.56
  5. Step 5: Solve for x
    x = 67,039.56/225.30
  6. Step 6: Final answer
    x = 297.56

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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.