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Finding the Fourth Proportional to 165.92, 227.91 and 134.70

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Solution

The fourth proportional to 165.92, 227.91 and 134.70 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 227.91 = 134.70 : x
  2. Step 2: Convert to fraction form
    165.92/227.91 = 134.70/x
  3. Step 3: Cross multiply
    165.92x = 227.91 × 134.70
  4. Step 4: Simplify right side
    165.92x = 30,699.48
  5. Step 5: Solve for x
    x = 30,699.48/165.92
  6. Step 6: Final answer
    x = 185.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.