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Finding the Fourth Proportional to 137.43, 205.17 and 119.12

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Solution

The fourth proportional to 137.43, 205.17 and 119.12 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.43 : 205.17 = 119.12 : x
  2. Step 2: Convert to fraction form
    137.43/205.17 = 119.12/x
  3. Step 3: Cross multiply
    137.43x = 205.17 × 119.12
  4. Step 4: Simplify right side
    137.43x = 24,438.82
  5. Step 5: Solve for x
    x = 24,438.82/137.43
  6. Step 6: Final answer
    x = 177.83

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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.