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Finding the Fourth Proportional to 271.14, 374.31 and 197.43

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Solution

The fourth proportional to 271.14, 374.31 and 197.43 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 374.31 = 197.43 : x
  2. Step 2: Convert to fraction form
    271.14/374.31 = 197.43/x
  3. Step 3: Cross multiply
    271.14x = 374.31 × 197.43
  4. Step 4: Simplify right side
    271.14x = 73,900.02
  5. Step 5: Solve for x
    x = 73,900.02/271.14
  6. Step 6: Final answer
    x = 272.55

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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.