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Finding the Fourth Proportional to 378.87, 568.94 and 362.67

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Solution

The fourth proportional to 378.87, 568.94 and 362.67 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 568.94 = 362.67 : x
  2. Step 2: Convert to fraction form
    378.87/568.94 = 362.67/x
  3. Step 3: Cross multiply
    378.87x = 568.94 × 362.67
  4. Step 4: Simplify right side
    378.87x = 206,335.66
  5. Step 5: Solve for x
    x = 206,335.66/378.87
  6. Step 6: Final answer
    x = 544.61

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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.