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Finding the Fourth Proportional to 226.39, 339.09 and 148.42

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Solution

The fourth proportional to 226.39, 339.09 and 148.42 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 339.09 = 148.42 : x
  2. Step 2: Convert to fraction form
    226.39/339.09 = 148.42/x
  3. Step 3: Cross multiply
    226.39x = 339.09 × 148.42
  4. Step 4: Simplify right side
    226.39x = 50,327.74
  5. Step 5: Solve for x
    x = 50,327.74/226.39
  6. Step 6: Final answer
    x = 222.31

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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.