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Finding the Fourth Proportional to 375.64, 518.32 and 209.84

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Solution

The fourth proportional to 375.64, 518.32 and 209.84 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 518.32 = 209.84 : x
  2. Step 2: Convert to fraction form
    375.64/518.32 = 209.84/x
  3. Step 3: Cross multiply
    375.64x = 518.32 × 209.84
  4. Step 4: Simplify right side
    375.64x = 108,764.27
  5. Step 5: Solve for x
    x = 108,764.27/375.64
  6. Step 6: Final answer
    x = 289.54

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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.