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Finding the Fourth Proportional to 363.34, 544.20 and 208.90

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Solution

The fourth proportional to 363.34, 544.20 and 208.90 is: 312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 544.20 = 208.90 : x
  2. Step 2: Convert to fraction form
    363.34/544.20 = 208.90/x
  3. Step 3: Cross multiply
    363.34x = 544.20 × 208.90
  4. Step 4: Simplify right side
    363.34x = 113,683.38
  5. Step 5: Solve for x
    x = 113,683.38/363.34
  6. Step 6: Final answer
    x = 312.88

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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.