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Finding the Fourth Proportional to 196.14, 270.78 and 137.10

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Solution

The fourth proportional to 196.14, 270.78 and 137.10 is: 189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.78 = 137.10 : x
  2. Step 2: Convert to fraction form
    196.14/270.78 = 137.10/x
  3. Step 3: Cross multiply
    196.14x = 270.78 × 137.10
  4. Step 4: Simplify right side
    196.14x = 37,123.94
  5. Step 5: Solve for x
    x = 37,123.94/196.14
  6. Step 6: Final answer
    x = 189.27

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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.