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Finding the Fourth Proportional to 255.85, 381.62 and 238.84

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Solution

The fourth proportional to 255.85, 381.62 and 238.84 is: 356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.85 : 381.62 = 238.84 : x
  2. Step 2: Convert to fraction form
    255.85/381.62 = 238.84/x
  3. Step 3: Cross multiply
    255.85x = 381.62 × 238.84
  4. Step 4: Simplify right side
    255.85x = 91,146.12
  5. Step 5: Solve for x
    x = 91,146.12/255.85
  6. Step 6: Final answer
    x = 356.25

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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.