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Finding the Fourth Proportional to 165, 246.39 and 134.49

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Solution

The fourth proportional to 165, 246.39 and 134.49 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 246.39 = 134.49 : x
  2. Step 2: Convert to fraction form
    165/246.39 = 134.49/x
  3. Step 3: Cross multiply
    165x = 246.39 × 134.49
  4. Step 4: Simplify right side
    165x = 33,136.99
  5. Step 5: Solve for x
    x = 33,136.99/165
  6. Step 6: Final answer
    x = 200.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.