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Finding the Fourth Proportional to 265.85, 396.23 and 265.44

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Solution

The fourth proportional to 265.85, 396.23 and 265.44 is: 395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 396.23 = 265.44 : x
  2. Step 2: Convert to fraction form
    265.85/396.23 = 265.44/x
  3. Step 3: Cross multiply
    265.85x = 396.23 × 265.44
  4. Step 4: Simplify right side
    265.85x = 105,173.96
  5. Step 5: Solve for x
    x = 105,173.96/265.85
  6. Step 6: Final answer
    x = 395.62

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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.