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Finding the Fourth Proportional to 327.77, 452.24 and 195.03

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Solution

The fourth proportional to 327.77, 452.24 and 195.03 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.77 : 452.24 = 195.03 : x
  2. Step 2: Convert to fraction form
    327.77/452.24 = 195.03/x
  3. Step 3: Cross multiply
    327.77x = 452.24 × 195.03
  4. Step 4: Simplify right side
    327.77x = 88,200.85
  5. Step 5: Solve for x
    x = 88,200.85/327.77
  6. Step 6: Final answer
    x = 269.10

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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.