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Finding the Fourth Proportional to 201.86, 278.60 and 114.53

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Solution

The fourth proportional to 201.86, 278.60 and 114.53 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.86 : 278.60 = 114.53 : x
  2. Step 2: Convert to fraction form
    201.86/278.60 = 114.53/x
  3. Step 3: Cross multiply
    201.86x = 278.60 × 114.53
  4. Step 4: Simplify right side
    201.86x = 31,906.09
  5. Step 5: Solve for x
    x = 31,906.09/201.86
  6. Step 6: Final answer
    x = 158.06

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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.