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Finding the Fourth Proportional to 201.54, 276.44 and 189.78

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Solution

The fourth proportional to 201.54, 276.44 and 189.78 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 276.44 = 189.78 : x
  2. Step 2: Convert to fraction form
    201.54/276.44 = 189.78/x
  3. Step 3: Cross multiply
    201.54x = 276.44 × 189.78
  4. Step 4: Simplify right side
    201.54x = 52,462.78
  5. Step 5: Solve for x
    x = 52,462.78/201.54
  6. Step 6: Final answer
    x = 260.31

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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.