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Finding the Fourth Proportional to 349.62, 523.41 and 263.31

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Solution

The fourth proportional to 349.62, 523.41 and 263.31 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 523.41 = 263.31 : x
  2. Step 2: Convert to fraction form
    349.62/523.41 = 263.31/x
  3. Step 3: Cross multiply
    349.62x = 523.41 × 263.31
  4. Step 4: Simplify right side
    349.62x = 137,821.30
  5. Step 5: Solve for x
    x = 137,821.30/349.62
  6. Step 6: Final answer
    x = 394.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.