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Finding the Fourth Proportional to 201.14, 278.86 and 190.20

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Solution

The fourth proportional to 201.14, 278.86 and 190.20 is: 263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 278.86 = 190.20 : x
  2. Step 2: Convert to fraction form
    201.14/278.86 = 190.20/x
  3. Step 3: Cross multiply
    201.14x = 278.86 × 190.20
  4. Step 4: Simplify right side
    201.14x = 53,039.17
  5. Step 5: Solve for x
    x = 53,039.17/201.14
  6. Step 6: Final answer
    x = 263.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.