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Finding the Fourth Proportional to 196.95, 296.53 and 163.24

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Solution

The fourth proportional to 196.95, 296.53 and 163.24 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.95 : 296.53 = 163.24 : x
  2. Step 2: Convert to fraction form
    196.95/296.53 = 163.24/x
  3. Step 3: Cross multiply
    196.95x = 296.53 × 163.24
  4. Step 4: Simplify right side
    196.95x = 48,404.41
  5. Step 5: Solve for x
    x = 48,404.41/196.95
  6. Step 6: Final answer
    x = 245.77

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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.