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Finding the Fourth Proportional to 381.99, 573.17 and 208.83

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Solution

The fourth proportional to 381.99, 573.17 and 208.83 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 573.17 = 208.83 : x
  2. Step 2: Convert to fraction form
    381.99/573.17 = 208.83/x
  3. Step 3: Cross multiply
    381.99x = 573.17 × 208.83
  4. Step 4: Simplify right side
    381.99x = 119,694.05
  5. Step 5: Solve for x
    x = 119,694.05/381.99
  6. Step 6: Final answer
    x = 313.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.