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Finding the Fourth Proportional to 350.50, 523.41 and 301.90

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Solution

The fourth proportional to 350.50, 523.41 and 301.90 is: 450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.50 : 523.41 = 301.90 : x
  2. Step 2: Convert to fraction form
    350.50/523.41 = 301.90/x
  3. Step 3: Cross multiply
    350.50x = 523.41 × 301.90
  4. Step 4: Simplify right side
    350.50x = 158,017.48
  5. Step 5: Solve for x
    x = 158,017.48/350.50
  6. Step 6: Final answer
    x = 450.83

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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.