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Finding the Fourth Proportional to 196.25, 294.37 and 80.66

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Solution

The fourth proportional to 196.25, 294.37 and 80.66 is: 120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 294.37 = 80.66 : x
  2. Step 2: Convert to fraction form
    196.25/294.37 = 80.66/x
  3. Step 3: Cross multiply
    196.25x = 294.37 × 80.66
  4. Step 4: Simplify right side
    196.25x = 23,744.65
  5. Step 5: Solve for x
    x = 23,744.65/196.25
  6. Step 6: Final answer
    x = 120.99

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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.