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Finding the Fourth Proportional to 137.31, 190.37 and 132.81

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Solution

The fourth proportional to 137.31, 190.37 and 132.81 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 190.37 = 132.81 : x
  2. Step 2: Convert to fraction form
    137.31/190.37 = 132.81/x
  3. Step 3: Cross multiply
    137.31x = 190.37 × 132.81
  4. Step 4: Simplify right side
    137.31x = 25,283.37
  5. Step 5: Solve for x
    x = 25,283.37/137.31
  6. Step 6: Final answer
    x = 184.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.