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Finding the Fourth Proportional to 201.18, 301.22 and 139.90

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Solution

The fourth proportional to 201.18, 301.22 and 139.90 is: 209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 301.22 = 139.90 : x
  2. Step 2: Convert to fraction form
    201.18/301.22 = 139.90/x
  3. Step 3: Cross multiply
    201.18x = 301.22 × 139.90
  4. Step 4: Simplify right side
    201.18x = 42,140.68
  5. Step 5: Solve for x
    x = 42,140.68/201.18
  6. Step 6: Final answer
    x = 209.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.