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Finding the Fourth Proportional to 196.53, 271.25 and 163.72

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Solution

The fourth proportional to 196.53, 271.25 and 163.72 is: 225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.53 : 271.25 = 163.72 : x
  2. Step 2: Convert to fraction form
    196.53/271.25 = 163.72/x
  3. Step 3: Cross multiply
    196.53x = 271.25 × 163.72
  4. Step 4: Simplify right side
    196.53x = 44,409.18
  5. Step 5: Solve for x
    x = 44,409.18/196.53
  6. Step 6: Final answer
    x = 225.97

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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.