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Finding the Fourth Proportional to 137.05, 188.66 and 132.61

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Solution

The fourth proportional to 137.05, 188.66 and 132.61 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.05 : 188.66 = 132.61 : x
  2. Step 2: Convert to fraction form
    137.05/188.66 = 132.61/x
  3. Step 3: Cross multiply
    137.05x = 188.66 × 132.61
  4. Step 4: Simplify right side
    137.05x = 25,018.20
  5. Step 5: Solve for x
    x = 25,018.20/137.05
  6. Step 6: Final answer
    x = 182.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.