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Finding the Fourth Proportional to 350.89, 523.50 and 338.29

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Solution

The fourth proportional to 350.89, 523.50 and 338.29 is: 504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.89 : 523.50 = 338.29 : x
  2. Step 2: Convert to fraction form
    350.89/523.50 = 338.29/x
  3. Step 3: Cross multiply
    350.89x = 523.50 × 338.29
  4. Step 4: Simplify right side
    350.89x = 177,093.51
  5. Step 5: Solve for x
    x = 177,093.51/350.89
  6. Step 6: Final answer
    x = 504.70

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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.