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Finding the Fourth Proportional to 179.66, 267.66 and 170.78

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Solution

The fourth proportional to 179.66, 267.66 and 170.78 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 267.66 = 170.78 : x
  2. Step 2: Convert to fraction form
    179.66/267.66 = 170.78/x
  3. Step 3: Cross multiply
    179.66x = 267.66 × 170.78
  4. Step 4: Simplify right side
    179.66x = 45,709.64
  5. Step 5: Solve for x
    x = 45,709.64/179.66
  6. Step 6: Final answer
    x = 254.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.