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Finding the Fourth Proportional to 381.08, 525.86 and 223.80

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Solution

The fourth proportional to 381.08, 525.86 and 223.80 is: 308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 525.86 = 223.80 : x
  2. Step 2: Convert to fraction form
    381.08/525.86 = 223.80/x
  3. Step 3: Cross multiply
    381.08x = 525.86 × 223.80
  4. Step 4: Simplify right side
    381.08x = 117,687.47
  5. Step 5: Solve for x
    x = 117,687.47/381.08
  6. Step 6: Final answer
    x = 308.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.