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Finding the Fourth Proportional to 132.84, 183.78 and 120.60

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Solution

The fourth proportional to 132.84, 183.78 and 120.60 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 183.78 = 120.60 : x
  2. Step 2: Convert to fraction form
    132.84/183.78 = 120.60/x
  3. Step 3: Cross multiply
    132.84x = 183.78 × 120.60
  4. Step 4: Simplify right side
    132.84x = 22,163.87
  5. Step 5: Solve for x
    x = 22,163.87/132.84
  6. Step 6: Final answer
    x = 166.85

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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.