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Finding the Fourth Proportional to 350.92, 523.41 and 301.60

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Solution

The fourth proportional to 350.92, 523.41 and 301.60 is: 449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.92 : 523.41 = 301.60 : x
  2. Step 2: Convert to fraction form
    350.92/523.41 = 301.60/x
  3. Step 3: Cross multiply
    350.92x = 523.41 × 301.60
  4. Step 4: Simplify right side
    350.92x = 157,860.46
  5. Step 5: Solve for x
    x = 157,860.46/350.92
  6. Step 6: Final answer
    x = 449.85

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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.