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Finding the Fourth Proportional to 399.46, 550.72 and 328.30

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Solution

The fourth proportional to 399.46, 550.72 and 328.30 is: 452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.46 : 550.72 = 328.30 : x
  2. Step 2: Convert to fraction form
    399.46/550.72 = 328.30/x
  3. Step 3: Cross multiply
    399.46x = 550.72 × 328.30
  4. Step 4: Simplify right side
    399.46x = 180,801.38
  5. Step 5: Solve for x
    x = 180,801.38/399.46
  6. Step 6: Final answer
    x = 452.61

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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.