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Finding the Fourth Proportional to 338.37, 465.78 and 255.34

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Solution

The fourth proportional to 338.37, 465.78 and 255.34 is: 351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.37 : 465.78 = 255.34 : x
  2. Step 2: Convert to fraction form
    338.37/465.78 = 255.34/x
  3. Step 3: Cross multiply
    338.37x = 465.78 × 255.34
  4. Step 4: Simplify right side
    338.37x = 118,932.27
  5. Step 5: Solve for x
    x = 118,932.27/338.37
  6. Step 6: Final answer
    x = 351.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.