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Finding the Fourth Proportional to 360.18, 496.91 and 255.26

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Solution

The fourth proportional to 360.18, 496.91 and 255.26 is: 352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.18 : 496.91 = 255.26 : x
  2. Step 2: Convert to fraction form
    360.18/496.91 = 255.26/x
  3. Step 3: Cross multiply
    360.18x = 496.91 × 255.26
  4. Step 4: Simplify right side
    360.18x = 126,837.49
  5. Step 5: Solve for x
    x = 126,837.49/360.18
  6. Step 6: Final answer
    x = 352.15

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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.