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Finding the Fourth Proportional to 363.02, 544.07 and 206.83

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Solution

The fourth proportional to 363.02, 544.07 and 206.83 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 544.07 = 206.83 : x
  2. Step 2: Convert to fraction form
    363.02/544.07 = 206.83/x
  3. Step 3: Cross multiply
    363.02x = 544.07 × 206.83
  4. Step 4: Simplify right side
    363.02x = 112,531.20
  5. Step 5: Solve for x
    x = 112,531.20/363.02
  6. Step 6: Final answer
    x = 309.99

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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.