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Finding the Fourth Proportional to 179.58, 270.50 and 168.78

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Solution

The fourth proportional to 179.58, 270.50 and 168.78 is: 254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.58 : 270.50 = 168.78 : x
  2. Step 2: Convert to fraction form
    179.58/270.50 = 168.78/x
  3. Step 3: Cross multiply
    179.58x = 270.50 × 168.78
  4. Step 4: Simplify right side
    179.58x = 45,654.99
  5. Step 5: Solve for x
    x = 45,654.99/179.58
  6. Step 6: Final answer
    x = 254.23

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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.