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Finding the Fourth Proportional to 179.28, 270.25 and 168.84

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Solution

The fourth proportional to 179.28, 270.25 and 168.84 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 270.25 = 168.84 : x
  2. Step 2: Convert to fraction form
    179.28/270.25 = 168.84/x
  3. Step 3: Cross multiply
    179.28x = 270.25 × 168.84
  4. Step 4: Simplify right side
    179.28x = 45,628.59
  5. Step 5: Solve for x
    x = 45,628.59/179.28
  6. Step 6: Final answer
    x = 254.51

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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.