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Finding the Fourth Proportional to 328.96, 490.86 and 299.85

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Solution

The fourth proportional to 328.96, 490.86 and 299.85 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 490.86 = 299.85 : x
  2. Step 2: Convert to fraction form
    328.96/490.86 = 299.85/x
  3. Step 3: Cross multiply
    328.96x = 490.86 × 299.85
  4. Step 4: Simplify right side
    328.96x = 147,181.92
  5. Step 5: Solve for x
    x = 147,181.92/328.96
  6. Step 6: Final answer
    x = 447.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.