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Finding the Fourth Proportional to 226.10, 311.73 and 191.07

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Solution

The fourth proportional to 226.10, 311.73 and 191.07 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 311.73 = 191.07 : x
  2. Step 2: Convert to fraction form
    226.10/311.73 = 191.07/x
  3. Step 3: Cross multiply
    226.10x = 311.73 × 191.07
  4. Step 4: Simplify right side
    226.10x = 59,562.25
  5. Step 5: Solve for x
    x = 59,562.25/226.10
  6. Step 6: Final answer
    x = 263.43

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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.