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Finding the Fourth Proportional to 179.28, 270.09 and 165.69

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Solution

The fourth proportional to 179.28, 270.09 and 165.69 is: 249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 270.09 = 165.69 : x
  2. Step 2: Convert to fraction form
    179.28/270.09 = 165.69/x
  3. Step 3: Cross multiply
    179.28x = 270.09 × 165.69
  4. Step 4: Simplify right side
    179.28x = 44,751.21
  5. Step 5: Solve for x
    x = 44,751.21/179.28
  6. Step 6: Final answer
    x = 249.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.