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Finding the Fourth Proportional to 161.08, 241 and 109.48

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Solution

The fourth proportional to 161.08, 241 and 109.48 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.08 : 241 = 109.48 : x
  2. Step 2: Convert to fraction form
    161.08/241 = 109.48/x
  3. Step 3: Cross multiply
    161.08x = 241 × 109.48
  4. Step 4: Simplify right side
    161.08x = 26,384.68
  5. Step 5: Solve for x
    x = 26,384.68/161.08
  6. Step 6: Final answer
    x = 163.80

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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.