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Finding the Fourth Proportional to 227.20, 339.28 and 194.88

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Solution

The fourth proportional to 227.20, 339.28 and 194.88 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.20 : 339.28 = 194.88 : x
  2. Step 2: Convert to fraction form
    227.20/339.28 = 194.88/x
  3. Step 3: Cross multiply
    227.20x = 339.28 × 194.88
  4. Step 4: Simplify right side
    227.20x = 66,118.89
  5. Step 5: Solve for x
    x = 66,118.89/227.20
  6. Step 6: Final answer
    x = 291.02

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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.