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Finding the Fourth Proportional to 402.24, 550.83 and 380.04

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Solution

The fourth proportional to 402.24, 550.83 and 380.04 is: 520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 550.83 = 380.04 : x
  2. Step 2: Convert to fraction form
    402.24/550.83 = 380.04/x
  3. Step 3: Cross multiply
    402.24x = 550.83 × 380.04
  4. Step 4: Simplify right side
    402.24x = 209,337.43
  5. Step 5: Solve for x
    x = 209,337.43/402.24
  6. Step 6: Final answer
    x = 520.43

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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.