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Finding the Fourth Proportional to 165.57, 249.38 and 135.33

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Solution

The fourth proportional to 165.57, 249.38 and 135.33 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 249.38 = 135.33 : x
  2. Step 2: Convert to fraction form
    165.57/249.38 = 135.33/x
  3. Step 3: Cross multiply
    165.57x = 249.38 × 135.33
  4. Step 4: Simplify right side
    165.57x = 33,747.92
  5. Step 5: Solve for x
    x = 33,747.92/165.57
  6. Step 6: Final answer
    x = 203.83

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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.