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Finding the Fourth Proportional to 201.66, 276.78 and 180.48

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Solution

The fourth proportional to 201.66, 276.78 and 180.48 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 276.78 = 180.48 : x
  2. Step 2: Convert to fraction form
    201.66/276.78 = 180.48/x
  3. Step 3: Cross multiply
    201.66x = 276.78 × 180.48
  4. Step 4: Simplify right side
    201.66x = 49,953.25
  5. Step 5: Solve for x
    x = 49,953.25/201.66
  6. Step 6: Final answer
    x = 247.71

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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.