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Finding the Fourth Proportional to 263.96, 394.33 and 254.36

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Solution

The fourth proportional to 263.96, 394.33 and 254.36 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 394.33 = 254.36 : x
  2. Step 2: Convert to fraction form
    263.96/394.33 = 254.36/x
  3. Step 3: Cross multiply
    263.96x = 394.33 × 254.36
  4. Step 4: Simplify right side
    263.96x = 100,301.78
  5. Step 5: Solve for x
    x = 100,301.78/263.96
  6. Step 6: Final answer
    x = 379.99

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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.