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Finding the Fourth Proportional to 150.90, 225.97 and 137.22

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Solution

The fourth proportional to 150.90, 225.97 and 137.22 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.90 : 225.97 = 137.22 : x
  2. Step 2: Convert to fraction form
    150.90/225.97 = 137.22/x
  3. Step 3: Cross multiply
    150.90x = 225.97 × 137.22
  4. Step 4: Simplify right side
    150.90x = 31,007.60
  5. Step 5: Solve for x
    x = 31,007.60/150.90
  6. Step 6: Final answer
    x = 205.48

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Why These Related Problems?

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