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Finding the Fourth Proportional to 227.28, 339 and 214.44

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Solution

The fourth proportional to 227.28, 339 and 214.44 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 339 = 214.44 : x
  2. Step 2: Convert to fraction form
    227.28/339 = 214.44/x
  3. Step 3: Cross multiply
    227.28x = 339 × 214.44
  4. Step 4: Simplify right side
    227.28x = 72,695.16
  5. Step 5: Solve for x
    x = 72,695.16/227.28
  6. Step 6: Final answer
    x = 319.85

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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.