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Finding the Fourth Proportional to 197.21, 272 and 144.74

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Solution

The fourth proportional to 197.21, 272 and 144.74 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.21 : 272 = 144.74 : x
  2. Step 2: Convert to fraction form
    197.21/272 = 144.74/x
  3. Step 3: Cross multiply
    197.21x = 272 × 144.74
  4. Step 4: Simplify right side
    197.21x = 39,369.28
  5. Step 5: Solve for x
    x = 39,369.28/197.21
  6. Step 6: Final answer
    x = 199.63

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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.