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Finding the Fourth Proportional to 226.45, 310.34 and 226.09

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Solution

The fourth proportional to 226.45, 310.34 and 226.09 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.45 : 310.34 = 226.09 : x
  2. Step 2: Convert to fraction form
    226.45/310.34 = 226.09/x
  3. Step 3: Cross multiply
    226.45x = 310.34 × 226.09
  4. Step 4: Simplify right side
    226.45x = 70,164.77
  5. Step 5: Solve for x
    x = 70,164.77/226.45
  6. Step 6: Final answer
    x = 309.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.