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Finding the Fourth Proportional to 350.50, 523.67 and 338.38

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Solution

The fourth proportional to 350.50, 523.67 and 338.38 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.50 : 523.67 = 338.38 : x
  2. Step 2: Convert to fraction form
    350.50/523.67 = 338.38/x
  3. Step 3: Cross multiply
    350.50x = 523.67 × 338.38
  4. Step 4: Simplify right side
    350.50x = 177,199.45
  5. Step 5: Solve for x
    x = 177,199.45/350.50
  6. Step 6: Final answer
    x = 505.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.