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Finding the Fourth Proportional to 140.90, 194.34 and 82.66

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Solution

The fourth proportional to 140.90, 194.34 and 82.66 is: 114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 194.34 = 82.66 : x
  2. Step 2: Convert to fraction form
    140.90/194.34 = 82.66/x
  3. Step 3: Cross multiply
    140.90x = 194.34 × 82.66
  4. Step 4: Simplify right side
    140.90x = 16,064.14
  5. Step 5: Solve for x
    x = 16,064.14/140.90
  6. Step 6: Final answer
    x = 114.01

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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.