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Finding the Fourth Proportional to 196.02, 270.45 and 126.09

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Solution

The fourth proportional to 196.02, 270.45 and 126.09 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 270.45 = 126.09 : x
  2. Step 2: Convert to fraction form
    196.02/270.45 = 126.09/x
  3. Step 3: Cross multiply
    196.02x = 270.45 × 126.09
  4. Step 4: Simplify right side
    196.02x = 34,101.04
  5. Step 5: Solve for x
    x = 34,101.04/196.02
  6. Step 6: Final answer
    x = 173.97

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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.