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Finding the Fourth Proportional to 363.24, 503.62 and 343.80

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Solution

The fourth proportional to 363.24, 503.62 and 343.80 is: 476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 503.62 = 343.80 : x
  2. Step 2: Convert to fraction form
    363.24/503.62 = 343.80/x
  3. Step 3: Cross multiply
    363.24x = 503.62 × 343.80
  4. Step 4: Simplify right side
    363.24x = 173,144.56
  5. Step 5: Solve for x
    x = 173,144.56/363.24
  6. Step 6: Final answer
    x = 476.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.