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Finding the Fourth Proportional to 201.22, 300.35 and 186.17

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Solution

The fourth proportional to 201.22, 300.35 and 186.17 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 300.35 = 186.17 : x
  2. Step 2: Convert to fraction form
    201.22/300.35 = 186.17/x
  3. Step 3: Cross multiply
    201.22x = 300.35 × 186.17
  4. Step 4: Simplify right side
    201.22x = 55,915.12
  5. Step 5: Solve for x
    x = 55,915.12/201.22
  6. Step 6: Final answer
    x = 277.88

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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.