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Finding the Fourth Proportional to 196.49, 270.74 and 168.48

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Solution

The fourth proportional to 196.49, 270.74 and 168.48 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 270.74 = 168.48 : x
  2. Step 2: Convert to fraction form
    196.49/270.74 = 168.48/x
  3. Step 3: Cross multiply
    196.49x = 270.74 × 168.48
  4. Step 4: Simplify right side
    196.49x = 45,614.70
  5. Step 5: Solve for x
    x = 45,614.70/196.49
  6. Step 6: Final answer
    x = 232.14

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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.