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Finding the Fourth Proportional to 264.96, 395.82 and 255.36

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Solution

The fourth proportional to 264.96, 395.82 and 255.36 is: 381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 395.82 = 255.36 : x
  2. Step 2: Convert to fraction form
    264.96/395.82 = 255.36/x
  3. Step 3: Cross multiply
    264.96x = 395.82 × 255.36
  4. Step 4: Simplify right side
    264.96x = 101,076.60
  5. Step 5: Solve for x
    x = 101,076.60/264.96
  6. Step 6: Final answer
    x = 381.48

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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.