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Finding the Fourth Proportional to 255.02, 381.38 and 227.76

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Solution

The fourth proportional to 255.02, 381.38 and 227.76 is: 340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 381.38 = 227.76 : x
  2. Step 2: Convert to fraction form
    255.02/381.38 = 227.76/x
  3. Step 3: Cross multiply
    255.02x = 381.38 × 227.76
  4. Step 4: Simplify right side
    255.02x = 86,861.97
  5. Step 5: Solve for x
    x = 86,861.97/255.02
  6. Step 6: Final answer
    x = 340.62

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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.