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Finding the Fourth Proportional to 137.17, 189.39 and 126.69

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Solution

The fourth proportional to 137.17, 189.39 and 126.69 is: 174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.17 : 189.39 = 126.69 : x
  2. Step 2: Convert to fraction form
    137.17/189.39 = 126.69/x
  3. Step 3: Cross multiply
    137.17x = 189.39 × 126.69
  4. Step 4: Simplify right side
    137.17x = 23,993.40
  5. Step 5: Solve for x
    x = 23,993.40/137.17
  6. Step 6: Final answer
    x = 174.92

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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.