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Finding the Fourth Proportional to 165.39, 227.85 and 136.23

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Solution

The fourth proportional to 165.39, 227.85 and 136.23 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 227.85 = 136.23 : x
  2. Step 2: Convert to fraction form
    165.39/227.85 = 136.23/x
  3. Step 3: Cross multiply
    165.39x = 227.85 × 136.23
  4. Step 4: Simplify right side
    165.39x = 31,040.01
  5. Step 5: Solve for x
    x = 31,040.01/165.39
  6. Step 6: Final answer
    x = 187.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.