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Finding the Fourth Proportional to 227.72, 343.56 and 216.34

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Solution

The fourth proportional to 227.72, 343.56 and 216.34 is: 326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 343.56 = 216.34 : x
  2. Step 2: Convert to fraction form
    227.72/343.56 = 216.34/x
  3. Step 3: Cross multiply
    227.72x = 343.56 × 216.34
  4. Step 4: Simplify right side
    227.72x = 74,325.72
  5. Step 5: Solve for x
    x = 74,325.72/227.72
  6. Step 6: Final answer
    x = 326.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.