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Finding the Fourth Proportional to 196.50, 294.71 and 80.83

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Solution

The fourth proportional to 196.50, 294.71 and 80.83 is: 121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 294.71 = 80.83 : x
  2. Step 2: Convert to fraction form
    196.50/294.71 = 80.83/x
  3. Step 3: Cross multiply
    196.50x = 294.71 × 80.83
  4. Step 4: Simplify right side
    196.50x = 23,821.37
  5. Step 5: Solve for x
    x = 23,821.37/196.50
  6. Step 6: Final answer
    x = 121.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.