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Finding the Fourth Proportional to 286.49, 427.23 and 254.99

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Solution

The fourth proportional to 286.49, 427.23 and 254.99 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.49 : 427.23 = 254.99 : x
  2. Step 2: Convert to fraction form
    286.49/427.23 = 254.99/x
  3. Step 3: Cross multiply
    286.49x = 427.23 × 254.99
  4. Step 4: Simplify right side
    286.49x = 108,939.38
  5. Step 5: Solve for x
    x = 108,939.38/286.49
  6. Step 6: Final answer
    x = 380.26

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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.