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Finding the Fourth Proportional to 149.44, 205.64 and 112.48

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Solution

The fourth proportional to 149.44, 205.64 and 112.48 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 205.64 = 112.48 : x
  2. Step 2: Convert to fraction form
    149.44/205.64 = 112.48/x
  3. Step 3: Cross multiply
    149.44x = 205.64 × 112.48
  4. Step 4: Simplify right side
    149.44x = 23,130.39
  5. Step 5: Solve for x
    x = 23,130.39/149.44
  6. Step 6: Final answer
    x = 154.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.