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Finding the Fourth Proportional to 227.18, 339.17 and 194.69

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Solution

The fourth proportional to 227.18, 339.17 and 194.69 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.18 : 339.17 = 194.69 : x
  2. Step 2: Convert to fraction form
    227.18/339.17 = 194.69/x
  3. Step 3: Cross multiply
    227.18x = 339.17 × 194.69
  4. Step 4: Simplify right side
    227.18x = 66,032.88
  5. Step 5: Solve for x
    x = 66,032.88/227.18
  6. Step 6: Final answer
    x = 290.66

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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.