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Finding the Fourth Proportional to 150.40, 208.62 and 137.44

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Solution

The fourth proportional to 150.40, 208.62 and 137.44 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 208.62 = 137.44 : x
  2. Step 2: Convert to fraction form
    150.40/208.62 = 137.44/x
  3. Step 3: Cross multiply
    150.40x = 208.62 × 137.44
  4. Step 4: Simplify right side
    150.40x = 28,672.73
  5. Step 5: Solve for x
    x = 28,672.73/150.40
  6. Step 6: Final answer
    x = 190.64

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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.