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Finding the Fourth Proportional to 226.10, 310.29 and 211.70

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Solution

The fourth proportional to 226.10, 310.29 and 211.70 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 310.29 = 211.70 : x
  2. Step 2: Convert to fraction form
    226.10/310.29 = 211.70/x
  3. Step 3: Cross multiply
    226.10x = 310.29 × 211.70
  4. Step 4: Simplify right side
    226.10x = 65,687.33
  5. Step 5: Solve for x
    x = 65,687.33/226.10
  6. Step 6: Final answer
    x = 290.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.