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Finding the Fourth Proportional to 382.15, 523.92 and 375.23

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Solution

The fourth proportional to 382.15, 523.92 and 375.23 is: 514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.15 : 523.92 = 375.23 : x
  2. Step 2: Convert to fraction form
    382.15/523.92 = 375.23/x
  3. Step 3: Cross multiply
    382.15x = 523.92 × 375.23
  4. Step 4: Simplify right side
    382.15x = 196,590.17
  5. Step 5: Solve for x
    x = 196,590.17/382.15
  6. Step 6: Final answer
    x = 514.44

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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.