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Finding the Fourth Proportional to 137.96, 191.14 and 134.62

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Solution

The fourth proportional to 137.96, 191.14 and 134.62 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 191.14 = 134.62 : x
  2. Step 2: Convert to fraction form
    137.96/191.14 = 134.62/x
  3. Step 3: Cross multiply
    137.96x = 191.14 × 134.62
  4. Step 4: Simplify right side
    137.96x = 25,731.27
  5. Step 5: Solve for x
    x = 25,731.27/137.96
  6. Step 6: Final answer
    x = 186.51

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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.