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Finding the Fourth Proportional to 260.58, 361.29 and 249.24

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Solution

The fourth proportional to 260.58, 361.29 and 249.24 is: 345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.58 : 361.29 = 249.24 : x
  2. Step 2: Convert to fraction form
    260.58/361.29 = 249.24/x
  3. Step 3: Cross multiply
    260.58x = 361.29 × 249.24
  4. Step 4: Simplify right side
    260.58x = 90,047.92
  5. Step 5: Solve for x
    x = 90,047.92/260.58
  6. Step 6: Final answer
    x = 345.57

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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.