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Finding the Fourth Proportional to 201.43, 278.06 and 197.38

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Solution

The fourth proportional to 201.43, 278.06 and 197.38 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.43 : 278.06 = 197.38 : x
  2. Step 2: Convert to fraction form
    201.43/278.06 = 197.38/x
  3. Step 3: Cross multiply
    201.43x = 278.06 × 197.38
  4. Step 4: Simplify right side
    201.43x = 54,883.48
  5. Step 5: Solve for x
    x = 54,883.48/201.43
  6. Step 6: Final answer
    x = 272.47

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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.