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Finding the Fourth Proportional to 260.57, 361.46 and 246.74

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Solution

The fourth proportional to 260.57, 361.46 and 246.74 is: 342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 361.46 = 246.74 : x
  2. Step 2: Convert to fraction form
    260.57/361.46 = 246.74/x
  3. Step 3: Cross multiply
    260.57x = 361.46 × 246.74
  4. Step 4: Simplify right side
    260.57x = 89,183.60
  5. Step 5: Solve for x
    x = 89,183.60/260.57
  6. Step 6: Final answer
    x = 342.26

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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.