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Finding the Fourth Proportional to 137.27, 206.71 and 119.45

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Solution

The fourth proportional to 137.27, 206.71 and 119.45 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 206.71 = 119.45 : x
  2. Step 2: Convert to fraction form
    137.27/206.71 = 119.45/x
  3. Step 3: Cross multiply
    137.27x = 206.71 × 119.45
  4. Step 4: Simplify right side
    137.27x = 24,690.63
  5. Step 5: Solve for x
    x = 24,690.63/137.27
  6. Step 6: Final answer
    x = 179.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.