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Finding the Fourth Proportional to 201.00, 277.36 and 164.09

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Solution

The fourth proportional to 201.00, 277.36 and 164.09 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.00 : 277.36 = 164.09 : x
  2. Step 2: Convert to fraction form
    201.00/277.36 = 164.09/x
  3. Step 3: Cross multiply
    201.00x = 277.36 × 164.09
  4. Step 4: Simplify right side
    201.00x = 45,512.29
  5. Step 5: Solve for x
    x = 45,512.29/201.00
  6. Step 6: Final answer
    x = 226.43

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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.