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Finding the Fourth Proportional to 226.56, 339.24 and 190.38

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Solution

The fourth proportional to 226.56, 339.24 and 190.38 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 339.24 = 190.38 : x
  2. Step 2: Convert to fraction form
    226.56/339.24 = 190.38/x
  3. Step 3: Cross multiply
    226.56x = 339.24 × 190.38
  4. Step 4: Simplify right side
    226.56x = 64,584.51
  5. Step 5: Solve for x
    x = 64,584.51/226.56
  6. Step 6: Final answer
    x = 285.07

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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.