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Finding the Fourth Proportional to 227.82, 339.54 and 223.27

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Solution

The fourth proportional to 227.82, 339.54 and 223.27 is: 332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 339.54 = 223.27 : x
  2. Step 2: Convert to fraction form
    227.82/339.54 = 223.27/x
  3. Step 3: Cross multiply
    227.82x = 339.54 × 223.27
  4. Step 4: Simplify right side
    227.82x = 75,808.25
  5. Step 5: Solve for x
    x = 75,808.25/227.82
  6. Step 6: Final answer
    x = 332.76

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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.