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Finding the Fourth Proportional to 196.62, 271.40 and 138.57

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Solution

The fourth proportional to 196.62, 271.40 and 138.57 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 271.40 = 138.57 : x
  2. Step 2: Convert to fraction form
    196.62/271.40 = 138.57/x
  3. Step 3: Cross multiply
    196.62x = 271.40 × 138.57
  4. Step 4: Simplify right side
    196.62x = 37,607.21
  5. Step 5: Solve for x
    x = 37,607.21/196.62
  6. Step 6: Final answer
    x = 191.27

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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.