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Finding the Fourth Proportional to 161.06, 240.44 and 140.57

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Solution

The fourth proportional to 161.06, 240.44 and 140.57 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 240.44 = 140.57 : x
  2. Step 2: Convert to fraction form
    161.06/240.44 = 140.57/x
  3. Step 3: Cross multiply
    161.06x = 240.44 × 140.57
  4. Step 4: Simplify right side
    161.06x = 33,796.75
  5. Step 5: Solve for x
    x = 33,796.75/161.06
  6. Step 6: Final answer
    x = 209.84

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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.