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Finding the Fourth Proportional to 179.34, 270.09 and 134

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Solution

The fourth proportional to 179.34, 270.09 and 134 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.34 : 270.09 = 134 : x
  2. Step 2: Convert to fraction form
    179.34/270.09 = 134/x
  3. Step 3: Cross multiply
    179.34x = 270.09 × 134
  4. Step 4: Simplify right side
    179.34x = 36,192.06
  5. Step 5: Solve for x
    x = 36,192.06/179.34
  6. Step 6: Final answer
    x = 201.81

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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.