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Finding the Fourth Proportional to 201.67, 278.45 and 136.33

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Solution

The fourth proportional to 201.67, 278.45 and 136.33 is: 188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 278.45 = 136.33 : x
  2. Step 2: Convert to fraction form
    201.67/278.45 = 136.33/x
  3. Step 3: Cross multiply
    201.67x = 278.45 × 136.33
  4. Step 4: Simplify right side
    201.67x = 37,961.09
  5. Step 5: Solve for x
    x = 37,961.09/201.67
  6. Step 6: Final answer
    x = 188.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.