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Finding the Fourth Proportional to 137.96, 208.14 and 131.48

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Solution

The fourth proportional to 137.96, 208.14 and 131.48 is: 198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 208.14 = 131.48 : x
  2. Step 2: Convert to fraction form
    137.96/208.14 = 131.48/x
  3. Step 3: Cross multiply
    137.96x = 208.14 × 131.48
  4. Step 4: Simplify right side
    137.96x = 27,366.25
  5. Step 5: Solve for x
    x = 27,366.25/137.96
  6. Step 6: Final answer
    x = 198.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.