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Finding the Fourth Proportional to 196.77, 271.53 and 122.05

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Solution

The fourth proportional to 196.77, 271.53 and 122.05 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 271.53 = 122.05 : x
  2. Step 2: Convert to fraction form
    196.77/271.53 = 122.05/x
  3. Step 3: Cross multiply
    196.77x = 271.53 × 122.05
  4. Step 4: Simplify right side
    196.77x = 33,140.24
  5. Step 5: Solve for x
    x = 33,140.24/196.77
  6. Step 6: Final answer
    x = 168.42

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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.