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Finding the Fourth Proportional to 269.11, 401.40 and 226.05

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Solution

The fourth proportional to 269.11, 401.40 and 226.05 is: 337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 401.40 = 226.05 : x
  2. Step 2: Convert to fraction form
    269.11/401.40 = 226.05/x
  3. Step 3: Cross multiply
    269.11x = 401.40 × 226.05
  4. Step 4: Simplify right side
    269.11x = 90,736.47
  5. Step 5: Solve for x
    x = 90,736.47/269.11
  6. Step 6: Final answer
    x = 337.17

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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.