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Finding the Fourth Proportional to 255.39, 381.50 and 218.94

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Solution

The fourth proportional to 255.39, 381.50 and 218.94 is: 327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.39 : 381.50 = 218.94 : x
  2. Step 2: Convert to fraction form
    255.39/381.50 = 218.94/x
  3. Step 3: Cross multiply
    255.39x = 381.50 × 218.94
  4. Step 4: Simplify right side
    255.39x = 83,524.52
  5. Step 5: Solve for x
    x = 83,524.52/255.39
  6. Step 6: Final answer
    x = 327.05

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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.