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Finding the Fourth Proportional to 350.25, 520.91 and 343.34

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Solution

The fourth proportional to 350.25, 520.91 and 343.34 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.25 : 520.91 = 343.34 : x
  2. Step 2: Convert to fraction form
    350.25/520.91 = 343.34/x
  3. Step 3: Cross multiply
    350.25x = 520.91 × 343.34
  4. Step 4: Simplify right side
    350.25x = 178,846.85
  5. Step 5: Solve for x
    x = 178,846.85/350.25
  6. Step 6: Final answer
    x = 510.63

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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.