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Finding the Fourth Proportional to 196.66, 271.37 and 137.78

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Solution

The fourth proportional to 196.66, 271.37 and 137.78 is: 190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 271.37 = 137.78 : x
  2. Step 2: Convert to fraction form
    196.66/271.37 = 137.78/x
  3. Step 3: Cross multiply
    196.66x = 271.37 × 137.78
  4. Step 4: Simplify right side
    196.66x = 37,387.31
  5. Step 5: Solve for x
    x = 37,387.31/196.66
  6. Step 6: Final answer
    x = 190.11

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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.