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Finding the Fourth Proportional to 269.87, 406.03 and 161.74

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Solution

The fourth proportional to 269.87, 406.03 and 161.74 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.87 : 406.03 = 161.74 : x
  2. Step 2: Convert to fraction form
    269.87/406.03 = 161.74/x
  3. Step 3: Cross multiply
    269.87x = 406.03 × 161.74
  4. Step 4: Simplify right side
    269.87x = 65,670.48
  5. Step 5: Solve for x
    x = 65,670.48/269.87
  6. Step 6: Final answer
    x = 243.34

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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.