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Finding the Fourth Proportional to 201.80, 278.61 and 139.73

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Solution

The fourth proportional to 201.80, 278.61 and 139.73 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 278.61 = 139.73 : x
  2. Step 2: Convert to fraction form
    201.80/278.61 = 139.73/x
  3. Step 3: Cross multiply
    201.80x = 278.61 × 139.73
  4. Step 4: Simplify right side
    201.80x = 38,930.18
  5. Step 5: Solve for x
    x = 38,930.18/201.80
  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.