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Finding the Fourth Proportional to 375.21, 517.83 and 209.48

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Solution

The fourth proportional to 375.21, 517.83 and 209.48 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 517.83 = 209.48 : x
  2. Step 2: Convert to fraction form
    375.21/517.83 = 209.48/x
  3. Step 3: Cross multiply
    375.21x = 517.83 × 209.48
  4. Step 4: Simplify right side
    375.21x = 108,475.54
  5. Step 5: Solve for x
    x = 108,475.54/375.21
  6. Step 6: Final answer
    x = 289.11

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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.