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Finding the Fourth Proportional to 140.58, 194.99 and 134.73

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Solution

The fourth proportional to 140.58, 194.99 and 134.73 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 194.99 = 134.73 : x
  2. Step 2: Convert to fraction form
    140.58/194.99 = 134.73/x
  3. Step 3: Cross multiply
    140.58x = 194.99 × 134.73
  4. Step 4: Simplify right side
    140.58x = 26,270.33
  5. Step 5: Solve for x
    x = 26,270.33/140.58
  6. Step 6: Final answer
    x = 186.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.