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Finding the Fourth Proportional to 226.95, 338.60 and 206.78

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Solution

The fourth proportional to 226.95, 338.60 and 206.78 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.95 : 338.60 = 206.78 : x
  2. Step 2: Convert to fraction form
    226.95/338.60 = 206.78/x
  3. Step 3: Cross multiply
    226.95x = 338.60 × 206.78
  4. Step 4: Simplify right side
    226.95x = 70,012.98
  5. Step 5: Solve for x
    x = 70,012.98/226.95
  6. Step 6: Final answer
    x = 308.50

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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.