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Finding the Fourth Proportional to 137.08, 189.20 and 104.44

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Solution

The fourth proportional to 137.08, 189.20 and 104.44 is: 144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 189.20 = 104.44 : x
  2. Step 2: Convert to fraction form
    137.08/189.20 = 104.44/x
  3. Step 3: Cross multiply
    137.08x = 189.20 × 104.44
  4. Step 4: Simplify right side
    137.08x = 19,760.05
  5. Step 5: Solve for x
    x = 19,760.05/137.08
  6. Step 6: Final answer
    x = 144.15

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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.