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Finding the Fourth Proportional to 254.18, 379.45 and 226.84

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Solution

The fourth proportional to 254.18, 379.45 and 226.84 is: 338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.18 : 379.45 = 226.84 : x
  2. Step 2: Convert to fraction form
    254.18/379.45 = 226.84/x
  3. Step 3: Cross multiply
    254.18x = 379.45 × 226.84
  4. Step 4: Simplify right side
    254.18x = 86,074.44
  5. Step 5: Solve for x
    x = 86,074.44/254.18
  6. Step 6: Final answer
    x = 338.64

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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.