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Finding the Fourth Proportional to 179.03, 267.28 and 161.75

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Solution

The fourth proportional to 179.03, 267.28 and 161.75 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.03 : 267.28 = 161.75 : x
  2. Step 2: Convert to fraction form
    179.03/267.28 = 161.75/x
  3. Step 3: Cross multiply
    179.03x = 267.28 × 161.75
  4. Step 4: Simplify right side
    179.03x = 43,232.54
  5. Step 5: Solve for x
    x = 43,232.54/179.03
  6. Step 6: Final answer
    x = 241.48

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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.