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Finding the Fourth Proportional to 375.68, 518.44 and 209.87

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Solution

The fourth proportional to 375.68, 518.44 and 209.87 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 518.44 = 209.87 : x
  2. Step 2: Convert to fraction form
    375.68/518.44 = 209.87/x
  3. Step 3: Cross multiply
    375.68x = 518.44 × 209.87
  4. Step 4: Simplify right side
    375.68x = 108,801.89
  5. Step 5: Solve for x
    x = 108,801.89/375.68
  6. Step 6: Final answer
    x = 289.61

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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.