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Finding the Fourth Proportional to 226.68, 338.10 and 211.98

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Solution

The fourth proportional to 226.68, 338.10 and 211.98 is: 316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 338.10 = 211.98 : x
  2. Step 2: Convert to fraction form
    226.68/338.10 = 211.98/x
  3. Step 3: Cross multiply
    226.68x = 338.10 × 211.98
  4. Step 4: Simplify right side
    226.68x = 71,670.44
  5. Step 5: Solve for x
    x = 71,670.44/226.68
  6. Step 6: Final answer
    x = 316.17

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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.