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Finding the Fourth Proportional to 203.38, 278.86 and 201.26

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Solution

The fourth proportional to 203.38, 278.86 and 201.26 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.38 : 278.86 = 201.26 : x
  2. Step 2: Convert to fraction form
    203.38/278.86 = 201.26/x
  3. Step 3: Cross multiply
    203.38x = 278.86 × 201.26
  4. Step 4: Simplify right side
    203.38x = 56,123.36
  5. Step 5: Solve for x
    x = 56,123.36/203.38
  6. Step 6: Final answer
    x = 275.95

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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.