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Finding the Fourth Proportional to 255.10, 380.69 and 227.76

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Solution

The fourth proportional to 255.10, 380.69 and 227.76 is: 339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 380.69 = 227.76 : x
  2. Step 2: Convert to fraction form
    255.10/380.69 = 227.76/x
  3. Step 3: Cross multiply
    255.10x = 380.69 × 227.76
  4. Step 4: Simplify right side
    255.10x = 86,704.82
  5. Step 5: Solve for x
    x = 86,704.82/255.10
  6. Step 6: Final answer
    x = 339.89

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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.