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Finding the Fourth Proportional to 254.28, 379.48 and 226.95

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Solution

The fourth proportional to 254.28, 379.48 and 226.95 is: 338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 379.48 = 226.95 : x
  2. Step 2: Convert to fraction form
    254.28/379.48 = 226.95/x
  3. Step 3: Cross multiply
    254.28x = 379.48 × 226.95
  4. Step 4: Simplify right side
    254.28x = 86,122.99
  5. Step 5: Solve for x
    x = 86,122.99/254.28
  6. Step 6: Final answer
    x = 338.69

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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.