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Finding the Fourth Proportional to 197.68, 272.72 and 139.44

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Solution

The fourth proportional to 197.68, 272.72 and 139.44 is: 192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 272.72 = 139.44 : x
  2. Step 2: Convert to fraction form
    197.68/272.72 = 139.44/x
  3. Step 3: Cross multiply
    197.68x = 272.72 × 139.44
  4. Step 4: Simplify right side
    197.68x = 38,028.08
  5. Step 5: Solve for x
    x = 38,028.08/197.68
  6. Step 6: Final answer
    x = 192.37

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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.