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Finding the Fourth Proportional to 275.45, 379.80 and 201.56

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Solution

The fourth proportional to 275.45, 379.80 and 201.56 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 379.80 = 201.56 : x
  2. Step 2: Convert to fraction form
    275.45/379.80 = 201.56/x
  3. Step 3: Cross multiply
    275.45x = 379.80 × 201.56
  4. Step 4: Simplify right side
    275.45x = 76,550.59
  5. Step 5: Solve for x
    x = 76,550.59/275.45
  6. Step 6: Final answer
    x = 277.92

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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.