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Finding the Fourth Proportional to 226.23, 339.56 and 157.79

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Solution

The fourth proportional to 226.23, 339.56 and 157.79 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 339.56 = 157.79 : x
  2. Step 2: Convert to fraction form
    226.23/339.56 = 157.79/x
  3. Step 3: Cross multiply
    226.23x = 339.56 × 157.79
  4. Step 4: Simplify right side
    226.23x = 53,576.69
  5. Step 5: Solve for x
    x = 53,576.69/226.23
  6. Step 6: Final answer
    x = 236.82

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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.