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Finding the Fourth Proportional to 363.57, 544.35 and 209.37

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Solution

The fourth proportional to 363.57, 544.35 and 209.37 is: 313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.57 : 544.35 = 209.37 : x
  2. Step 2: Convert to fraction form
    363.57/544.35 = 209.37/x
  3. Step 3: Cross multiply
    363.57x = 544.35 × 209.37
  4. Step 4: Simplify right side
    363.57x = 113,970.56
  5. Step 5: Solve for x
    x = 113,970.56/363.57
  6. Step 6: Final answer
    x = 313.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.