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Finding the Fourth Proportional to 196.20, 270.81 and 130.68

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Solution

The fourth proportional to 196.20, 270.81 and 130.68 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 270.81 = 130.68 : x
  2. Step 2: Convert to fraction form
    196.20/270.81 = 130.68/x
  3. Step 3: Cross multiply
    196.20x = 270.81 × 130.68
  4. Step 4: Simplify right side
    196.20x = 35,389.45
  5. Step 5: Solve for x
    x = 35,389.45/196.20
  6. Step 6: Final answer
    x = 180.37

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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.