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Finding the Fourth Proportional to 226.39, 339.63 and 96.39

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Solution

The fourth proportional to 226.39, 339.63 and 96.39 is: 144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 339.63 = 96.39 : x
  2. Step 2: Convert to fraction form
    226.39/339.63 = 96.39/x
  3. Step 3: Cross multiply
    226.39x = 339.63 × 96.39
  4. Step 4: Simplify right side
    226.39x = 32,736.94
  5. Step 5: Solve for x
    x = 32,736.94/226.39
  6. Step 6: Final answer
    x = 144.60

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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.