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Finding the Fourth Proportional to 331.96, 498.26 and 161.08

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Solution

The fourth proportional to 331.96, 498.26 and 161.08 is: 241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 498.26 = 161.08 : x
  2. Step 2: Convert to fraction form
    331.96/498.26 = 161.08/x
  3. Step 3: Cross multiply
    331.96x = 498.26 × 161.08
  4. Step 4: Simplify right side
    331.96x = 80,259.72
  5. Step 5: Solve for x
    x = 80,259.72/331.96
  6. Step 6: Final answer
    x = 241.78

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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.