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Finding the Fourth Proportional to 179.28, 270.27 and 173.61

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Solution

The fourth proportional to 179.28, 270.27 and 173.61 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 270.27 = 173.61 : x
  2. Step 2: Convert to fraction form
    179.28/270.27 = 173.61/x
  3. Step 3: Cross multiply
    179.28x = 270.27 × 173.61
  4. Step 4: Simplify right side
    179.28x = 46,921.57
  5. Step 5: Solve for x
    x = 46,921.57/179.28
  6. Step 6: Final answer
    x = 261.72

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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.