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Finding the Fourth Proportional to 165.13, 246.97 and 134.89

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Solution

The fourth proportional to 165.13, 246.97 and 134.89 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.13 : 246.97 = 134.89 : x
  2. Step 2: Convert to fraction form
    165.13/246.97 = 134.89/x
  3. Step 3: Cross multiply
    165.13x = 246.97 × 134.89
  4. Step 4: Simplify right side
    165.13x = 33,313.78
  5. Step 5: Solve for x
    x = 33,313.78/165.13
  6. Step 6: Final answer
    x = 201.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.