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Finding the Fourth Proportional to 328.87, 453.85 and 196.05

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Solution

The fourth proportional to 328.87, 453.85 and 196.05 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.87 : 453.85 = 196.05 : x
  2. Step 2: Convert to fraction form
    328.87/453.85 = 196.05/x
  3. Step 3: Cross multiply
    328.87x = 453.85 × 196.05
  4. Step 4: Simplify right side
    328.87x = 88,977.29
  5. Step 5: Solve for x
    x = 88,977.29/328.87
  6. Step 6: Final answer
    x = 270.56

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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.