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Finding the Fourth Proportional to 226.14, 311.49 and 211.02

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Solution

The fourth proportional to 226.14, 311.49 and 211.02 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 311.49 = 211.02 : x
  2. Step 2: Convert to fraction form
    226.14/311.49 = 211.02/x
  3. Step 3: Cross multiply
    226.14x = 311.49 × 211.02
  4. Step 4: Simplify right side
    226.14x = 65,730.62
  5. Step 5: Solve for x
    x = 65,730.62/226.14
  6. Step 6: Final answer
    x = 290.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.