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Finding the Fourth Proportional to 328.92, 452.11 and 295.44

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Solution

The fourth proportional to 328.92, 452.11 and 295.44 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 452.11 = 295.44 : x
  2. Step 2: Convert to fraction form
    328.92/452.11 = 295.44/x
  3. Step 3: Cross multiply
    328.92x = 452.11 × 295.44
  4. Step 4: Simplify right side
    328.92x = 133,571.38
  5. Step 5: Solve for x
    x = 133,571.38/328.92
  6. Step 6: Final answer
    x = 406.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.