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Finding the Fourth Proportional to 226.50, 338.18 and 209.22

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Solution

The fourth proportional to 226.50, 338.18 and 209.22 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 338.18 = 209.22 : x
  2. Step 2: Convert to fraction form
    226.50/338.18 = 209.22/x
  3. Step 3: Cross multiply
    226.50x = 338.18 × 209.22
  4. Step 4: Simplify right side
    226.50x = 70,754.02
  5. Step 5: Solve for x
    x = 70,754.02/226.50
  6. Step 6: Final answer
    x = 312.38

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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.