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Finding the Fourth Proportional to 201.91, 278.66 and 139.78

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Solution

The fourth proportional to 201.91, 278.66 and 139.78 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.91 : 278.66 = 139.78 : x
  2. Step 2: Convert to fraction form
    201.91/278.66 = 139.78/x
  3. Step 3: Cross multiply
    201.91x = 278.66 × 139.78
  4. Step 4: Simplify right side
    201.91x = 38,951.09
  5. Step 5: Solve for x
    x = 38,951.09/201.91
  6. Step 6: Final answer
    x = 192.91

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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.