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Finding the Fourth Proportional to 270.74, 406.11 and 179.62

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Solution

The fourth proportional to 270.74, 406.11 and 179.62 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 406.11 = 179.62 : x
  2. Step 2: Convert to fraction form
    270.74/406.11 = 179.62/x
  3. Step 3: Cross multiply
    270.74x = 406.11 × 179.62
  4. Step 4: Simplify right side
    270.74x = 72,945.14
  5. Step 5: Solve for x
    x = 72,945.14/270.74
  6. Step 6: Final answer
    x = 269.43

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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.