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Finding the Fourth Proportional to 363.40, 500.37 and 355.30

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Solution

The fourth proportional to 363.40, 500.37 and 355.30 is: 489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 500.37 = 355.30 : x
  2. Step 2: Convert to fraction form
    363.40/500.37 = 355.30/x
  3. Step 3: Cross multiply
    363.40x = 500.37 × 355.30
  4. Step 4: Simplify right side
    363.40x = 177,778.96
  5. Step 5: Solve for x
    x = 177,778.96/363.40
  6. Step 6: Final answer
    x = 489.22

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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.