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Finding the Fourth Proportional to 271.96, 374.82 and 194.20

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Solution

The fourth proportional to 271.96, 374.82 and 194.20 is: 267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 374.82 = 194.20 : x
  2. Step 2: Convert to fraction form
    271.96/374.82 = 194.20/x
  3. Step 3: Cross multiply
    271.96x = 374.82 × 194.20
  4. Step 4: Simplify right side
    271.96x = 72,790.04
  5. Step 5: Solve for x
    x = 72,790.04/271.96
  6. Step 6: Final answer
    x = 267.65

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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.