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Finding the Fourth Proportional to 165.89, 249.89 and 135.83

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Solution

The fourth proportional to 165.89, 249.89 and 135.83 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 249.89 = 135.83 : x
  2. Step 2: Convert to fraction form
    165.89/249.89 = 135.83/x
  3. Step 3: Cross multiply
    165.89x = 249.89 × 135.83
  4. Step 4: Simplify right side
    165.89x = 33,942.50
  5. Step 5: Solve for x
    x = 33,942.50/165.89
  6. Step 6: Final answer
    x = 204.61

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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.