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Finding the Fourth Proportional to 196.97, 271.78 and 114.06

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Solution

The fourth proportional to 196.97, 271.78 and 114.06 is: 157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 271.78 = 114.06 : x
  2. Step 2: Convert to fraction form
    196.97/271.78 = 114.06/x
  3. Step 3: Cross multiply
    196.97x = 271.78 × 114.06
  4. Step 4: Simplify right side
    196.97x = 30,999.23
  5. Step 5: Solve for x
    x = 30,999.23/196.97
  6. Step 6: Final answer
    x = 157.38

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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.