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Finding the Fourth Proportional to 378.75, 568.19 and 262.92

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Solution

The fourth proportional to 378.75, 568.19 and 262.92 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.75 : 568.19 = 262.92 : x
  2. Step 2: Convert to fraction form
    378.75/568.19 = 262.92/x
  3. Step 3: Cross multiply
    378.75x = 568.19 × 262.92
  4. Step 4: Simplify right side
    378.75x = 149,388.51
  5. Step 5: Solve for x
    x = 149,388.51/378.75
  6. Step 6: Final answer
    x = 394.43

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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.