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Finding the Fourth Proportional to 271.59, 406.90 and 226.23

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Solution

The fourth proportional to 271.59, 406.90 and 226.23 is: 338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.59 : 406.90 = 226.23 : x
  2. Step 2: Convert to fraction form
    271.59/406.90 = 226.23/x
  3. Step 3: Cross multiply
    271.59x = 406.90 × 226.23
  4. Step 4: Simplify right side
    271.59x = 92,052.99
  5. Step 5: Solve for x
    x = 92,052.99/271.59
  6. Step 6: Final answer
    x = 338.94

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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.