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Finding the Fourth Proportional to 378.57, 568.13 and 162.21

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Solution

The fourth proportional to 378.57, 568.13 and 162.21 is: 243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.57 : 568.13 = 162.21 : x
  2. Step 2: Convert to fraction form
    378.57/568.13 = 162.21/x
  3. Step 3: Cross multiply
    378.57x = 568.13 × 162.21
  4. Step 4: Simplify right side
    378.57x = 92,155.56
  5. Step 5: Solve for x
    x = 92,155.56/378.57
  6. Step 6: Final answer
    x = 243.43

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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.