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Finding the Fourth Proportional to 196.68, 296.37 and 163.19

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Solution

The fourth proportional to 196.68, 296.37 and 163.19 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.68 : 296.37 = 163.19 : x
  2. Step 2: Convert to fraction form
    196.68/296.37 = 163.19/x
  3. Step 3: Cross multiply
    196.68x = 296.37 × 163.19
  4. Step 4: Simplify right side
    196.68x = 48,364.62
  5. Step 5: Solve for x
    x = 48,364.62/196.68
  6. Step 6: Final answer
    x = 245.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.