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Finding the Fourth Proportional to 196.67, 271.39 and 113.78

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Solution

The fourth proportional to 196.67, 271.39 and 113.78 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 271.39 = 113.78 : x
  2. Step 2: Convert to fraction form
    196.67/271.39 = 113.78/x
  3. Step 3: Cross multiply
    196.67x = 271.39 × 113.78
  4. Step 4: Simplify right side
    196.67x = 30,878.81
  5. Step 5: Solve for x
    x = 30,878.81/196.67
  6. Step 6: Final answer
    x = 157.01

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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.