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Finding the Fourth Proportional to 394.45, 544.36 and 226.43

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Solution

The fourth proportional to 394.45, 544.36 and 226.43 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.45 : 544.36 = 226.43 : x
  2. Step 2: Convert to fraction form
    394.45/544.36 = 226.43/x
  3. Step 3: Cross multiply
    394.45x = 544.36 × 226.43
  4. Step 4: Simplify right side
    394.45x = 123,257.15
  5. Step 5: Solve for x
    x = 123,257.15/394.45
  6. Step 6: Final answer
    x = 312.48

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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.