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Finding the Fourth Proportional to 327.70, 452.23 and 194.94

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Solution

The fourth proportional to 327.70, 452.23 and 194.94 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 452.23 = 194.94 : x
  2. Step 2: Convert to fraction form
    327.70/452.23 = 194.94/x
  3. Step 3: Cross multiply
    327.70x = 452.23 × 194.94
  4. Step 4: Simplify right side
    327.70x = 88,155.94
  5. Step 5: Solve for x
    x = 88,155.94/327.70
  6. Step 6: Final answer
    x = 269.01

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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.