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Finding the Fourth Proportional to 201.61, 278.27 and 136.14

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Solution

The fourth proportional to 201.61, 278.27 and 136.14 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 278.27 = 136.14 : x
  2. Step 2: Convert to fraction form
    201.61/278.27 = 136.14/x
  3. Step 3: Cross multiply
    201.61x = 278.27 × 136.14
  4. Step 4: Simplify right side
    201.61x = 37,883.68
  5. Step 5: Solve for x
    x = 37,883.68/201.61
  6. Step 6: Final answer
    x = 187.91

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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.