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Finding the Fourth Proportional to 179.42, 270.68 and 169.46

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Solution

The fourth proportional to 179.42, 270.68 and 169.46 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.42 : 270.68 = 169.46 : x
  2. Step 2: Convert to fraction form
    179.42/270.68 = 169.46/x
  3. Step 3: Cross multiply
    179.42x = 270.68 × 169.46
  4. Step 4: Simplify right side
    179.42x = 45,869.43
  5. Step 5: Solve for x
    x = 45,869.43/179.42
  6. Step 6: Final answer
    x = 255.65

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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.