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Finding the Fourth Proportional to 226.22, 310.28 and 209.21

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Solution

The fourth proportional to 226.22, 310.28 and 209.21 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.22 : 310.28 = 209.21 : x
  2. Step 2: Convert to fraction form
    226.22/310.28 = 209.21/x
  3. Step 3: Cross multiply
    226.22x = 310.28 × 209.21
  4. Step 4: Simplify right side
    226.22x = 64,912.63
  5. Step 5: Solve for x
    x = 64,912.63/226.22
  6. Step 6: Final answer
    x = 286.94

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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.