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Finding the Fourth Proportional to 254.12, 379.22 and 226.86

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Solution

The fourth proportional to 254.12, 379.22 and 226.86 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.12 : 379.22 = 226.86 : x
  2. Step 2: Convert to fraction form
    254.12/379.22 = 226.86/x
  3. Step 3: Cross multiply
    254.12x = 379.22 × 226.86
  4. Step 4: Simplify right side
    254.12x = 86,029.85
  5. Step 5: Solve for x
    x = 86,029.85/254.12
  6. Step 6: Final answer
    x = 338.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.