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Finding the Fourth Proportional to 179.52, 270.19 and 134.11

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Solution

The fourth proportional to 179.52, 270.19 and 134.11 is: 201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 270.19 = 134.11 : x
  2. Step 2: Convert to fraction form
    179.52/270.19 = 134.11/x
  3. Step 3: Cross multiply
    179.52x = 270.19 × 134.11
  4. Step 4: Simplify right side
    179.52x = 36,233.41
  5. Step 5: Solve for x
    x = 36,233.41/179.52
  6. Step 6: Final answer
    x = 201.84

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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.