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Finding the Fourth Proportional to 381.87, 569.18 and 378.18

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Solution

The fourth proportional to 381.87, 569.18 and 378.18 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 569.18 = 378.18 : x
  2. Step 2: Convert to fraction form
    381.87/569.18 = 378.18/x
  3. Step 3: Cross multiply
    381.87x = 569.18 × 378.18
  4. Step 4: Simplify right side
    381.87x = 215,253.44
  5. Step 5: Solve for x
    x = 215,253.44/381.87
  6. Step 6: Final answer
    x = 563.68

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Double scale
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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.