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Finding the Fourth Proportional to 179.56, 270.63 and 169.63

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Solution

The fourth proportional to 179.56, 270.63 and 169.63 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.56 : 270.63 = 169.63 : x
  2. Step 2: Convert to fraction form
    179.56/270.63 = 169.63/x
  3. Step 3: Cross multiply
    179.56x = 270.63 × 169.63
  4. Step 4: Simplify right side
    179.56x = 45,906.97
  5. Step 5: Solve for x
    x = 45,906.97/179.56
  6. Step 6: Final answer
    x = 255.66

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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.