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Finding the Fourth Proportional to 271.49, 374.50 and 197.72

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Solution

The fourth proportional to 271.49, 374.50 and 197.72 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.49 : 374.50 = 197.72 : x
  2. Step 2: Convert to fraction form
    271.49/374.50 = 197.72/x
  3. Step 3: Cross multiply
    271.49x = 374.50 × 197.72
  4. Step 4: Simplify right side
    271.49x = 74,046.14
  5. Step 5: Solve for x
    x = 74,046.14/271.49
  6. Step 6: Final answer
    x = 272.74

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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.