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Finding the Fourth Proportional to 403.26, 556.42 and 255.85

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Solution

The fourth proportional to 403.26, 556.42 and 255.85 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.26 : 556.42 = 255.85 : x
  2. Step 2: Convert to fraction form
    403.26/556.42 = 255.85/x
  3. Step 3: Cross multiply
    403.26x = 556.42 × 255.85
  4. Step 4: Simplify right side
    403.26x = 142,360.06
  5. Step 5: Solve for x
    x = 142,360.06/403.26
  6. Step 6: Final answer
    x = 353.02

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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.