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Finding the Fourth Proportional to 161.07, 221.99 and 140.12

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Solution

The fourth proportional to 161.07, 221.99 and 140.12 is: 193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.07 : 221.99 = 140.12 : x
  2. Step 2: Convert to fraction form
    161.07/221.99 = 140.12/x
  3. Step 3: Cross multiply
    161.07x = 221.99 × 140.12
  4. Step 4: Simplify right side
    161.07x = 31,103.43
  5. Step 5: Solve for x
    x = 31,103.43/161.07
  6. Step 6: Final answer
    x = 193.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.