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Finding the Fourth Proportional to 132.14, 180.94 and 130.61

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Solution

The fourth proportional to 132.14, 180.94 and 130.61 is: 178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 180.94 = 130.61 : x
  2. Step 2: Convert to fraction form
    132.14/180.94 = 130.61/x
  3. Step 3: Cross multiply
    132.14x = 180.94 × 130.61
  4. Step 4: Simplify right side
    132.14x = 23,632.57
  5. Step 5: Solve for x
    x = 23,632.57/132.14
  6. Step 6: Final answer
    x = 178.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.