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Finding the Fourth Proportional to 225.11, 312.09 and 220.65

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Solution

The fourth proportional to 225.11, 312.09 and 220.65 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.11 : 312.09 = 220.65 : x
  2. Step 2: Convert to fraction form
    225.11/312.09 = 220.65/x
  3. Step 3: Cross multiply
    225.11x = 312.09 × 220.65
  4. Step 4: Simplify right side
    225.11x = 68,862.66
  5. Step 5: Solve for x
    x = 68,862.66/225.11
  6. Step 6: Final answer
    x = 305.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.