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Finding the Fourth Proportional to 161.29, 241.73 and 140.64

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Solution

The fourth proportional to 161.29, 241.73 and 140.64 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 241.73 = 140.64 : x
  2. Step 2: Convert to fraction form
    161.29/241.73 = 140.64/x
  3. Step 3: Cross multiply
    161.29x = 241.73 × 140.64
  4. Step 4: Simplify right side
    161.29x = 33,996.91
  5. Step 5: Solve for x
    x = 33,996.91/161.29
  6. Step 6: Final answer
    x = 210.78

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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.