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Finding the Fourth Proportional to 165.96, 249.02 and 141.80

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Solution

The fourth proportional to 165.96, 249.02 and 141.80 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 249.02 = 141.80 : x
  2. Step 2: Convert to fraction form
    165.96/249.02 = 141.80/x
  3. Step 3: Cross multiply
    165.96x = 249.02 × 141.80
  4. Step 4: Simplify right side
    165.96x = 35,311.04
  5. Step 5: Solve for x
    x = 35,311.04/165.96
  6. Step 6: Final answer
    x = 212.77

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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.