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Finding the Fourth Proportional to 226.88, 340.44 and 105.20

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Solution

The fourth proportional to 226.88, 340.44 and 105.20 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 340.44 = 105.20 : x
  2. Step 2: Convert to fraction form
    226.88/340.44 = 105.20/x
  3. Step 3: Cross multiply
    226.88x = 340.44 × 105.20
  4. Step 4: Simplify right side
    226.88x = 35,814.29
  5. Step 5: Solve for x
    x = 35,814.29/226.88
  6. Step 6: Final answer
    x = 157.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.