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Finding the Fourth Proportional to 161.87, 241.62 and 140.35

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Solution

The fourth proportional to 161.87, 241.62 and 140.35 is: 209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.87 : 241.62 = 140.35 : x
  2. Step 2: Convert to fraction form
    161.87/241.62 = 140.35/x
  3. Step 3: Cross multiply
    161.87x = 241.62 × 140.35
  4. Step 4: Simplify right side
    161.87x = 33,910.69
  5. Step 5: Solve for x
    x = 33,910.69/161.87
  6. Step 6: Final answer
    x = 209.50

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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.