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Finding the Fourth Proportional to 255.29, 380.73 and 226.67

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Solution

The fourth proportional to 255.29, 380.73 and 226.67 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 380.73 = 226.67 : x
  2. Step 2: Convert to fraction form
    255.29/380.73 = 226.67/x
  3. Step 3: Cross multiply
    255.29x = 380.73 × 226.67
  4. Step 4: Simplify right side
    255.29x = 86,299.02
  5. Step 5: Solve for x
    x = 86,299.02/255.29
  6. Step 6: Final answer
    x = 338.05

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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.