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Finding the Fourth Proportional to 269.64, 403.89 and 161.37

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Solution

The fourth proportional to 269.64, 403.89 and 161.37 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 403.89 = 161.37 : x
  2. Step 2: Convert to fraction form
    269.64/403.89 = 161.37/x
  3. Step 3: Cross multiply
    269.64x = 403.89 × 161.37
  4. Step 4: Simplify right side
    269.64x = 65,173.71
  5. Step 5: Solve for x
    x = 65,173.71/269.64
  6. Step 6: Final answer
    x = 241.71

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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.