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Finding the Fourth Proportional to 381.09, 525.74 and 256.83

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Solution

The fourth proportional to 381.09, 525.74 and 256.83 is: 354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 525.74 = 256.83 : x
  2. Step 2: Convert to fraction form
    381.09/525.74 = 256.83/x
  3. Step 3: Cross multiply
    381.09x = 525.74 × 256.83
  4. Step 4: Simplify right side
    381.09x = 135,025.80
  5. Step 5: Solve for x
    x = 135,025.80/381.09
  6. Step 6: Final answer
    x = 354.31

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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.