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Finding the Fourth Proportional to 225.20, 311.09 and 181.46

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Solution

The fourth proportional to 225.20, 311.09 and 181.46 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.20 : 311.09 = 181.46 : x
  2. Step 2: Convert to fraction form
    225.20/311.09 = 181.46/x
  3. Step 3: Cross multiply
    225.20x = 311.09 × 181.46
  4. Step 4: Simplify right side
    225.20x = 56,447.93
  5. Step 5: Solve for x
    x = 56,447.93/225.20
  6. Step 6: Final answer
    x = 250.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.