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Finding the Fourth Proportional to 137.34, 188.40 and 126.39

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Solution

The fourth proportional to 137.34, 188.40 and 126.39 is: 173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 188.40 = 126.39 : x
  2. Step 2: Convert to fraction form
    137.34/188.40 = 126.39/x
  3. Step 3: Cross multiply
    137.34x = 188.40 × 126.39
  4. Step 4: Simplify right side
    137.34x = 23,811.88
  5. Step 5: Solve for x
    x = 23,811.88/137.34
  6. Step 6: Final answer
    x = 173.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.