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Finding the Fourth Proportional to 137.55, 190.82 and 132.69

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Solution

The fourth proportional to 137.55, 190.82 and 132.69 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.55 : 190.82 = 132.69 : x
  2. Step 2: Convert to fraction form
    137.55/190.82 = 132.69/x
  3. Step 3: Cross multiply
    137.55x = 190.82 × 132.69
  4. Step 4: Simplify right side
    137.55x = 25,319.91
  5. Step 5: Solve for x
    x = 25,319.91/137.55
  6. Step 6: Final answer
    x = 184.08

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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.