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Finding the Fourth Proportional to 226.67, 338.34 and 210.65

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Solution

The fourth proportional to 226.67, 338.34 and 210.65 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.67 : 338.34 = 210.65 : x
  2. Step 2: Convert to fraction form
    226.67/338.34 = 210.65/x
  3. Step 3: Cross multiply
    226.67x = 338.34 × 210.65
  4. Step 4: Simplify right side
    226.67x = 71,269.63
  5. Step 5: Solve for x
    x = 71,269.63/226.67
  6. Step 6: Final answer
    x = 314.43

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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.