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Finding the Fourth Proportional to 165.39, 246.62 and 142.71

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Solution

The fourth proportional to 165.39, 246.62 and 142.71 is: 212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 246.62 = 142.71 : x
  2. Step 2: Convert to fraction form
    165.39/246.62 = 142.71/x
  3. Step 3: Cross multiply
    165.39x = 246.62 × 142.71
  4. Step 4: Simplify right side
    165.39x = 35,195.14
  5. Step 5: Solve for x
    x = 35,195.14/165.39
  6. Step 6: Final answer
    x = 212.80

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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.