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Finding the Fourth Proportional to 132.78, 183.15 and 83.57

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Solution

The fourth proportional to 132.78, 183.15 and 83.57 is: 115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 183.15 = 83.57 : x
  2. Step 2: Convert to fraction form
    132.78/183.15 = 83.57/x
  3. Step 3: Cross multiply
    132.78x = 183.15 × 83.57
  4. Step 4: Simplify right side
    132.78x = 15,305.85
  5. Step 5: Solve for x
    x = 15,305.85/132.78
  6. Step 6: Final answer
    x = 115.27

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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.