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Finding the Fourth Proportional to 196.97, 271.72 and 114.03

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Solution

The fourth proportional to 196.97, 271.72 and 114.03 is: 157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 271.72 = 114.03 : x
  2. Step 2: Convert to fraction form
    196.97/271.72 = 114.03/x
  3. Step 3: Cross multiply
    196.97x = 271.72 × 114.03
  4. Step 4: Simplify right side
    196.97x = 30,984.23
  5. Step 5: Solve for x
    x = 30,984.23/196.97
  6. Step 6: Final answer
    x = 157.30

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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.