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Finding the Fourth Proportional to 163.82, 244.98 and 120.21

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Solution

The fourth proportional to 163.82, 244.98 and 120.21 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 244.98 = 120.21 : x
  2. Step 2: Convert to fraction form
    163.82/244.98 = 120.21/x
  3. Step 3: Cross multiply
    163.82x = 244.98 × 120.21
  4. Step 4: Simplify right side
    163.82x = 29,449.05
  5. Step 5: Solve for x
    x = 29,449.05/163.82
  6. Step 6: Final answer
    x = 179.77

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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.