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Finding the Fourth Proportional to 226.62, 339.81 and 169.50

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Solution

The fourth proportional to 226.62, 339.81 and 169.50 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.62 : 339.81 = 169.50 : x
  2. Step 2: Convert to fraction form
    226.62/339.81 = 169.50/x
  3. Step 3: Cross multiply
    226.62x = 339.81 × 169.50
  4. Step 4: Simplify right side
    226.62x = 57,597.80
  5. Step 5: Solve for x
    x = 57,597.80/226.62
  6. Step 6: Final answer
    x = 254.16

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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.