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Finding the Fourth Proportional to 271.50, 374.67 and 194.01

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Solution

The fourth proportional to 271.50, 374.67 and 194.01 is: 267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 374.67 = 194.01 : x
  2. Step 2: Convert to fraction form
    271.50/374.67 = 194.01/x
  3. Step 3: Cross multiply
    271.50x = 374.67 × 194.01
  4. Step 4: Simplify right side
    271.50x = 72,689.73
  5. Step 5: Solve for x
    x = 72,689.73/271.50
  6. Step 6: Final answer
    x = 267.73

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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.