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Finding the Fourth Proportional to 381.76, 573.71 and 227.71

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Solution

The fourth proportional to 381.76, 573.71 and 227.71 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.76 : 573.71 = 227.71 : x
  2. Step 2: Convert to fraction form
    381.76/573.71 = 227.71/x
  3. Step 3: Cross multiply
    381.76x = 573.71 × 227.71
  4. Step 4: Simplify right side
    381.76x = 130,639.50
  5. Step 5: Solve for x
    x = 130,639.50/381.76
  6. Step 6: Final answer
    x = 342.20

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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.