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Finding the Fourth Proportional to 381.28, 568.28 and 378.24

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Solution

The fourth proportional to 381.28, 568.28 and 378.24 is: 563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 568.28 = 378.24 : x
  2. Step 2: Convert to fraction form
    381.28/568.28 = 378.24/x
  3. Step 3: Cross multiply
    381.28x = 568.28 × 378.24
  4. Step 4: Simplify right side
    381.28x = 214,946.23
  5. Step 5: Solve for x
    x = 214,946.23/381.28
  6. Step 6: Final answer
    x = 563.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.