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Finding the Fourth Proportional to 300.49, 414.80 and 226.78

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Solution

The fourth proportional to 300.49, 414.80 and 226.78 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.80 = 226.78 : x
  2. Step 2: Convert to fraction form
    300.49/414.80 = 226.78/x
  3. Step 3: Cross multiply
    300.49x = 414.80 × 226.78
  4. Step 4: Simplify right side
    300.49x = 94,067.21
  5. Step 5: Solve for x
    x = 94,067.21/300.49
  6. Step 6: Final answer
    x = 313.05

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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.