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Finding the Fourth Proportional to 226.13, 340.94 and 208.85

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Solution

The fourth proportional to 226.13, 340.94 and 208.85 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 340.94 = 208.85 : x
  2. Step 2: Convert to fraction form
    226.13/340.94 = 208.85/x
  3. Step 3: Cross multiply
    226.13x = 340.94 × 208.85
  4. Step 4: Simplify right side
    226.13x = 71,204.14
  5. Step 5: Solve for x
    x = 71,204.14/226.13
  6. Step 6: Final answer
    x = 314.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.