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Finding the Fourth Proportional to 363.48, 544.67 and 209.17

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Solution

The fourth proportional to 363.48, 544.67 and 209.17 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 544.67 = 209.17 : x
  2. Step 2: Convert to fraction form
    363.48/544.67 = 209.17/x
  3. Step 3: Cross multiply
    363.48x = 544.67 × 209.17
  4. Step 4: Simplify right side
    363.48x = 113,928.62
  5. Step 5: Solve for x
    x = 113,928.62/363.48
  6. Step 6: Final answer
    x = 313.44

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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.