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Finding the Fourth Proportional to 226.92, 338.63 and 194.40

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Solution

The fourth proportional to 226.92, 338.63 and 194.40 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 338.63 = 194.40 : x
  2. Step 2: Convert to fraction form
    226.92/338.63 = 194.40/x
  3. Step 3: Cross multiply
    226.92x = 338.63 × 194.40
  4. Step 4: Simplify right side
    226.92x = 65,828.70
  5. Step 5: Solve for x
    x = 65,828.70/226.92
  6. Step 6: Final answer
    x = 290.10

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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.