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Finding the Fourth Proportional to 149.44, 222.92 and 137.32

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Solution

The fourth proportional to 149.44, 222.92 and 137.32 is: 204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 222.92 = 137.32 : x
  2. Step 2: Convert to fraction form
    149.44/222.92 = 137.32/x
  3. Step 3: Cross multiply
    149.44x = 222.92 × 137.32
  4. Step 4: Simplify right side
    149.44x = 30,611.37
  5. Step 5: Solve for x
    x = 30,611.37/149.44
  6. Step 6: Final answer
    x = 204.84

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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.