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Finding the Fourth Proportional to 201.56, 278.03 and 135.95

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Solution

The fourth proportional to 201.56, 278.03 and 135.95 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 278.03 = 135.95 : x
  2. Step 2: Convert to fraction form
    201.56/278.03 = 135.95/x
  3. Step 3: Cross multiply
    201.56x = 278.03 × 135.95
  4. Step 4: Simplify right side
    201.56x = 37,797.13
  5. Step 5: Solve for x
    x = 37,797.13/201.56
  6. Step 6: Final answer
    x = 187.53

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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.