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Finding the Fourth Proportional to 203.46, 279.14 and 201.78

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Solution

The fourth proportional to 203.46, 279.14 and 201.78 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 279.14 = 201.78 : x
  2. Step 2: Convert to fraction form
    203.46/279.14 = 201.78/x
  3. Step 3: Cross multiply
    203.46x = 279.14 × 201.78
  4. Step 4: Simplify right side
    203.46x = 56,323.86
  5. Step 5: Solve for x
    x = 56,323.86/203.46
  6. Step 6: Final answer
    x = 276.83

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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.