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Finding the Fourth Proportional to 196.60, 271.06 and 138.40

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Solution

The fourth proportional to 196.60, 271.06 and 138.40 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.60 : 271.06 = 138.40 : x
  2. Step 2: Convert to fraction form
    196.60/271.06 = 138.40/x
  3. Step 3: Cross multiply
    196.60x = 271.06 × 138.40
  4. Step 4: Simplify right side
    196.60x = 37,514.70
  5. Step 5: Solve for x
    x = 37,514.70/196.60
  6. Step 6: Final answer
    x = 190.82

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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.