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Finding the Fourth Proportional to 259.80, 388.20 and 226.86

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Solution

The fourth proportional to 259.80, 388.20 and 226.86 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 388.20 = 226.86 : x
  2. Step 2: Convert to fraction form
    259.80/388.20 = 226.86/x
  3. Step 3: Cross multiply
    259.80x = 388.20 × 226.86
  4. Step 4: Simplify right side
    259.80x = 88,067.05
  5. Step 5: Solve for x
    x = 88,067.05/259.80
  6. Step 6: Final answer
    x = 338.98

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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.