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Finding the Fourth Proportional to 137.09, 190.15 and 132.16

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Solution

The fourth proportional to 137.09, 190.15 and 132.16 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 190.15 = 132.16 : x
  2. Step 2: Convert to fraction form
    137.09/190.15 = 132.16/x
  3. Step 3: Cross multiply
    137.09x = 190.15 × 132.16
  4. Step 4: Simplify right side
    137.09x = 25,129.56
  5. Step 5: Solve for x
    x = 25,129.56/137.09
  6. Step 6: Final answer
    x = 183.31

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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.