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Finding the Fourth Proportional to 286.64, 427.75 and 255.88

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Solution

The fourth proportional to 286.64, 427.75 and 255.88 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 427.75 = 255.88 : x
  2. Step 2: Convert to fraction form
    286.64/427.75 = 255.88/x
  3. Step 3: Cross multiply
    286.64x = 427.75 × 255.88
  4. Step 4: Simplify right side
    286.64x = 109,450.16
  5. Step 5: Solve for x
    x = 109,450.16/286.64
  6. Step 6: Final answer
    x = 381.84

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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.