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Finding the Fourth Proportional to 263.76, 395.72 and 109.85

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Solution

The fourth proportional to 263.76, 395.72 and 109.85 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 395.72 = 109.85 : x
  2. Step 2: Convert to fraction form
    263.76/395.72 = 109.85/x
  3. Step 3: Cross multiply
    263.76x = 395.72 × 109.85
  4. Step 4: Simplify right side
    263.76x = 43,467.31
  5. Step 5: Solve for x
    x = 43,467.31/263.76
  6. Step 6: Final answer
    x = 164.80

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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.