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Finding the Fourth Proportional to 196.65, 271.42 and 137.63

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Solution

The fourth proportional to 196.65, 271.42 and 137.63 is: 189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 271.42 = 137.63 : x
  2. Step 2: Convert to fraction form
    196.65/271.42 = 137.63/x
  3. Step 3: Cross multiply
    196.65x = 271.42 × 137.63
  4. Step 4: Simplify right side
    196.65x = 37,353.83
  5. Step 5: Solve for x
    x = 37,353.83/196.65
  6. Step 6: Final answer
    x = 189.95

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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.