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Finding the Fourth Proportional to 226.43, 339.32 and 89.37

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Solution

The fourth proportional to 226.43, 339.32 and 89.37 is: 133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.43 : 339.32 = 89.37 : x
  2. Step 2: Convert to fraction form
    226.43/339.32 = 89.37/x
  3. Step 3: Cross multiply
    226.43x = 339.32 × 89.37
  4. Step 4: Simplify right side
    226.43x = 30,325.25
  5. Step 5: Solve for x
    x = 30,325.25/226.43
  6. Step 6: Final answer
    x = 133.93

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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.