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Finding the Fourth Proportional to 230.54, 343.74 and 226.44

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Solution

The fourth proportional to 230.54, 343.74 and 226.44 is: 337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.54 : 343.74 = 226.44 : x
  2. Step 2: Convert to fraction form
    230.54/343.74 = 226.44/x
  3. Step 3: Cross multiply
    230.54x = 343.74 × 226.44
  4. Step 4: Simplify right side
    230.54x = 77,836.49
  5. Step 5: Solve for x
    x = 77,836.49/230.54
  6. Step 6: Final answer
    x = 337.63

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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.