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Finding the Fourth Proportional to 286.66, 427.79 and 255.90

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Solution

The fourth proportional to 286.66, 427.79 and 255.90 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.66 : 427.79 = 255.90 : x
  2. Step 2: Convert to fraction form
    286.66/427.79 = 255.90/x
  3. Step 3: Cross multiply
    286.66x = 427.79 × 255.90
  4. Step 4: Simplify right side
    286.66x = 109,471.46
  5. Step 5: Solve for x
    x = 109,471.46/286.66
  6. Step 6: Final answer
    x = 381.89

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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.