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Finding the Fourth Proportional to 363.66, 499.50 and 356.73

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Solution

The fourth proportional to 363.66, 499.50 and 356.73 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.66 : 499.50 = 356.73 : x
  2. Step 2: Convert to fraction form
    363.66/499.50 = 356.73/x
  3. Step 3: Cross multiply
    363.66x = 499.50 × 356.73
  4. Step 4: Simplify right side
    363.66x = 178,186.64
  5. Step 5: Solve for x
    x = 178,186.64/363.66
  6. Step 6: Final answer
    x = 489.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.