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Finding the Fourth Proportional to 226.87, 338.40 and 217.15

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Solution

The fourth proportional to 226.87, 338.40 and 217.15 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.87 : 338.40 = 217.15 : x
  2. Step 2: Convert to fraction form
    226.87/338.40 = 217.15/x
  3. Step 3: Cross multiply
    226.87x = 338.40 × 217.15
  4. Step 4: Simplify right side
    226.87x = 73,483.56
  5. Step 5: Solve for x
    x = 73,483.56/226.87
  6. Step 6: Final answer
    x = 323.90

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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.