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Finding the Fourth Proportional to 255.77, 381.78 and 239.75

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Solution

The fourth proportional to 255.77, 381.78 and 239.75 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.77 : 381.78 = 239.75 : x
  2. Step 2: Convert to fraction form
    255.77/381.78 = 239.75/x
  3. Step 3: Cross multiply
    255.77x = 381.78 × 239.75
  4. Step 4: Simplify right side
    255.77x = 91,529.85
  5. Step 5: Solve for x
    x = 91,529.85/255.77
  6. Step 6: Final answer
    x = 357.87

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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.