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Finding the Fourth Proportional to 226.39, 337.32 and 216.44

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Solution

The fourth proportional to 226.39, 337.32 and 216.44 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 337.32 = 216.44 : x
  2. Step 2: Convert to fraction form
    226.39/337.32 = 216.44/x
  3. Step 3: Cross multiply
    226.39x = 337.32 × 216.44
  4. Step 4: Simplify right side
    226.39x = 73,007.85
  5. Step 5: Solve for x
    x = 73,007.85/226.39
  6. Step 6: Final answer
    x = 322.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.