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Finding the Fourth Proportional to 285.37, 395.44 and 268.03

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Solution

The fourth proportional to 285.37, 395.44 and 268.03 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 395.44 = 268.03 : x
  2. Step 2: Convert to fraction form
    285.37/395.44 = 268.03/x
  3. Step 3: Cross multiply
    285.37x = 395.44 × 268.03
  4. Step 4: Simplify right side
    285.37x = 105,991.44
  5. Step 5: Solve for x
    x = 105,991.44/285.37
  6. Step 6: Final answer
    x = 371.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.