Finding the Fourth Proportional to 164.26, 246.39 and 68.14
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Solution
The fourth proportional to 164.26, 246.39 and 68.14 is: 102.20
Step by Step Solution
- Step 1: Write the proportion equation
164.26 : 246.39 = 68.14 : x - Step 2: Convert to fraction form
164.26/246.39 = 68.14/x - Step 3: Cross multiply
164.26x = 246.39 × 68.14 - Step 4: Simplify right side
164.26x = 16,787.44 - Step 5: Solve for x
x = 16,787.44/164.26 - Step 6: Final answer
x = 102.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.