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Finding the Fourth Proportional to 260.07, 360.41 and 255.21

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Solution

The fourth proportional to 260.07, 360.41 and 255.21 is: 353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.07 : 360.41 = 255.21 : x
  2. Step 2: Convert to fraction form
    260.07/360.41 = 255.21/x
  3. Step 3: Cross multiply
    260.07x = 360.41 × 255.21
  4. Step 4: Simplify right side
    260.07x = 91,980.24
  5. Step 5: Solve for x
    x = 91,980.24/260.07
  6. Step 6: Final answer
    x = 353.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.