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Finding the Fourth Proportional to 201.67, 278.20 and 139.57

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Solution

The fourth proportional to 201.67, 278.20 and 139.57 is: 192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 278.20 = 139.57 : x
  2. Step 2: Convert to fraction form
    201.67/278.20 = 139.57/x
  3. Step 3: Cross multiply
    201.67x = 278.20 × 139.57
  4. Step 4: Simplify right side
    201.67x = 38,828.37
  5. Step 5: Solve for x
    x = 38,828.37/201.67
  6. Step 6: Final answer
    x = 192.53

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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.