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Finding the Fourth Proportional to 240.38, 360.41 and 137.71

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Solution

The fourth proportional to 240.38, 360.41 and 137.71 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 360.41 = 137.71 : x
  2. Step 2: Convert to fraction form
    240.38/360.41 = 137.71/x
  3. Step 3: Cross multiply
    240.38x = 360.41 × 137.71
  4. Step 4: Simplify right side
    240.38x = 49,630.47
  5. Step 5: Solve for x
    x = 49,630.47/240.38
  6. Step 6: Final answer
    x = 206.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.