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Finding the Fourth Proportional to 226.24, 338.82 and 171.70

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Solution

The fourth proportional to 226.24, 338.82 and 171.70 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.24 : 338.82 = 171.70 : x
  2. Step 2: Convert to fraction form
    226.24/338.82 = 171.70/x
  3. Step 3: Cross multiply
    226.24x = 338.82 × 171.70
  4. Step 4: Simplify right side
    226.24x = 58,175.39
  5. Step 5: Solve for x
    x = 58,175.39/226.24
  6. Step 6: Final answer
    x = 257.14

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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.