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Finding the Fourth Proportional to 326.19, 488.82 and 163.52

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Solution

The fourth proportional to 326.19, 488.82 and 163.52 is: 245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.19 : 488.82 = 163.52 : x
  2. Step 2: Convert to fraction form
    326.19/488.82 = 163.52/x
  3. Step 3: Cross multiply
    326.19x = 488.82 × 163.52
  4. Step 4: Simplify right side
    326.19x = 79,930.93
  5. Step 5: Solve for x
    x = 79,930.93/326.19
  6. Step 6: Final answer
    x = 245.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.