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Finding the Fourth Proportional to 226.98, 339.84 and 194.49

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Solution

The fourth proportional to 226.98, 339.84 and 194.49 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 339.84 = 194.49 : x
  2. Step 2: Convert to fraction form
    226.98/339.84 = 194.49/x
  3. Step 3: Cross multiply
    226.98x = 339.84 × 194.49
  4. Step 4: Simplify right side
    226.98x = 66,095.48
  5. Step 5: Solve for x
    x = 66,095.48/226.98
  6. Step 6: Final answer
    x = 291.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.