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Finding the Fourth Proportional to 196.73, 296.18 and 179.72

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Solution

The fourth proportional to 196.73, 296.18 and 179.72 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.73 : 296.18 = 179.72 : x
  2. Step 2: Convert to fraction form
    196.73/296.18 = 179.72/x
  3. Step 3: Cross multiply
    196.73x = 296.18 × 179.72
  4. Step 4: Simplify right side
    196.73x = 53,229.47
  5. Step 5: Solve for x
    x = 53,229.47/196.73
  6. Step 6: Final answer
    x = 270.57

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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.