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Finding the Fourth Proportional to 226.45, 339.42 and 123.78

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Solution

The fourth proportional to 226.45, 339.42 and 123.78 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.45 : 339.42 = 123.78 : x
  2. Step 2: Convert to fraction form
    226.45/339.42 = 123.78/x
  3. Step 3: Cross multiply
    226.45x = 339.42 × 123.78
  4. Step 4: Simplify right side
    226.45x = 42,013.41
  5. Step 5: Solve for x
    x = 42,013.41/226.45
  6. Step 6: Final answer
    x = 185.53

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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.