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Finding the Fourth Proportional to 196.72, 271.21 and 144.28

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Solution

The fourth proportional to 196.72, 271.21 and 144.28 is: 198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 271.21 = 144.28 : x
  2. Step 2: Convert to fraction form
    196.72/271.21 = 144.28/x
  3. Step 3: Cross multiply
    196.72x = 271.21 × 144.28
  4. Step 4: Simplify right side
    196.72x = 39,130.18
  5. Step 5: Solve for x
    x = 39,130.18/196.72
  6. Step 6: Final answer
    x = 198.91

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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.