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Finding the Fourth Proportional to 399.18, 550.19 and 320.35

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Solution

The fourth proportional to 399.18, 550.19 and 320.35 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.18 : 550.19 = 320.35 : x
  2. Step 2: Convert to fraction form
    399.18/550.19 = 320.35/x
  3. Step 3: Cross multiply
    399.18x = 550.19 × 320.35
  4. Step 4: Simplify right side
    399.18x = 176,250.62
  5. Step 5: Solve for x
    x = 176,250.62/399.18
  6. Step 6: Final answer
    x = 441.53

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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.