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Finding the Fourth Proportional to 197.38, 272.46 and 139.24

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Solution

The fourth proportional to 197.38, 272.46 and 139.24 is: 192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 272.46 = 139.24 : x
  2. Step 2: Convert to fraction form
    197.38/272.46 = 139.24/x
  3. Step 3: Cross multiply
    197.38x = 272.46 × 139.24
  4. Step 4: Simplify right side
    197.38x = 37,937.33
  5. Step 5: Solve for x
    x = 37,937.33/197.38
  6. Step 6: Final answer
    x = 192.20

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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.