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Finding the Fourth Proportional to 350.43, 523.21 and 301.62

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Solution

The fourth proportional to 350.43, 523.21 and 301.62 is: 450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 523.21 = 301.62 : x
  2. Step 2: Convert to fraction form
    350.43/523.21 = 301.62/x
  3. Step 3: Cross multiply
    350.43x = 523.21 × 301.62
  4. Step 4: Simplify right side
    350.43x = 157,812.37
  5. Step 5: Solve for x
    x = 157,812.37/350.43
  6. Step 6: Final answer
    x = 450.34

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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.