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Finding the Fourth Proportional to 375.61, 518.33 and 209.81

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Solution

The fourth proportional to 375.61, 518.33 and 209.81 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.61 : 518.33 = 209.81 : x
  2. Step 2: Convert to fraction form
    375.61/518.33 = 209.81/x
  3. Step 3: Cross multiply
    375.61x = 518.33 × 209.81
  4. Step 4: Simplify right side
    375.61x = 108,752.64
  5. Step 5: Solve for x
    x = 108,752.64/375.61
  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.