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Finding the Fourth Proportional to 132.78, 183.25 and 77.50

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Solution

The fourth proportional to 132.78, 183.25 and 77.50 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 183.25 = 77.50 : x
  2. Step 2: Convert to fraction form
    132.78/183.25 = 77.50/x
  3. Step 3: Cross multiply
    132.78x = 183.25 × 77.50
  4. Step 4: Simplify right side
    132.78x = 14,201.88
  5. Step 5: Solve for x
    x = 14,201.88/132.78
  6. Step 6: Final answer
    x = 106.96

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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.