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Finding the Fourth Proportional to 264.75, 396.21 and 255.65

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Solution

The fourth proportional to 264.75, 396.21 and 255.65 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 396.21 = 255.65 : x
  2. Step 2: Convert to fraction form
    264.75/396.21 = 255.65/x
  3. Step 3: Cross multiply
    264.75x = 396.21 × 255.65
  4. Step 4: Simplify right side
    264.75x = 101,289.11
  5. Step 5: Solve for x
    x = 101,289.11/264.75
  6. Step 6: Final answer
    x = 382.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.