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Finding the Fourth Proportional to 249.26, 373.70 and 226.64

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Solution

The fourth proportional to 249.26, 373.70 and 226.64 is: 339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 373.70 = 226.64 : x
  2. Step 2: Convert to fraction form
    249.26/373.70 = 226.64/x
  3. Step 3: Cross multiply
    249.26x = 373.70 × 226.64
  4. Step 4: Simplify right side
    249.26x = 84,692.37
  5. Step 5: Solve for x
    x = 84,692.37/249.26
  6. Step 6: Final answer
    x = 339.78

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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.