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Finding the Fourth Proportional to 375.56, 518.20 and 209.74

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Solution

The fourth proportional to 375.56, 518.20 and 209.74 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.56 : 518.20 = 209.74 : x
  2. Step 2: Convert to fraction form
    375.56/518.20 = 209.74/x
  3. Step 3: Cross multiply
    375.56x = 518.20 × 209.74
  4. Step 4: Simplify right side
    375.56x = 108,687.27
  5. Step 5: Solve for x
    x = 108,687.27/375.56
  6. Step 6: Final answer
    x = 289.40

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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.