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Finding the Fourth Proportional to 201.09, 300.17 and 186.06

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Solution

The fourth proportional to 201.09, 300.17 and 186.06 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 300.17 = 186.06 : x
  2. Step 2: Convert to fraction form
    201.09/300.17 = 186.06/x
  3. Step 3: Cross multiply
    201.09x = 300.17 × 186.06
  4. Step 4: Simplify right side
    201.09x = 55,848.13
  5. Step 5: Solve for x
    x = 55,848.13/201.09
  6. Step 6: Final answer
    x = 277.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.