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Finding the Fourth Proportional to 196.69, 270.99 and 144.14

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Solution

The fourth proportional to 196.69, 270.99 and 144.14 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.69 : 270.99 = 144.14 : x
  2. Step 2: Convert to fraction form
    196.69/270.99 = 144.14/x
  3. Step 3: Cross multiply
    196.69x = 270.99 × 144.14
  4. Step 4: Simplify right side
    196.69x = 39,060.50
  5. Step 5: Solve for x
    x = 39,060.50/196.69
  6. Step 6: Final answer
    x = 198.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.