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Finding the Fourth Proportional to 201.36, 279.75 and 199.38

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Solution

The fourth proportional to 201.36, 279.75 and 199.38 is: 277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 279.75 = 199.38 : x
  2. Step 2: Convert to fraction form
    201.36/279.75 = 199.38/x
  3. Step 3: Cross multiply
    201.36x = 279.75 × 199.38
  4. Step 4: Simplify right side
    201.36x = 55,776.56
  5. Step 5: Solve for x
    x = 55,776.56/201.36
  6. Step 6: Final answer
    x = 277.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.