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Finding the Fourth Proportional to 381.20, 522.63 and 374.26

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Solution

The fourth proportional to 381.20, 522.63 and 374.26 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 522.63 = 374.26 : x
  2. Step 2: Convert to fraction form
    381.20/522.63 = 374.26/x
  3. Step 3: Cross multiply
    381.20x = 522.63 × 374.26
  4. Step 4: Simplify right side
    381.20x = 195,599.50
  5. Step 5: Solve for x
    x = 195,599.50/381.20
  6. Step 6: Final answer
    x = 513.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.