Finding the Fourth Proportional to 82.79, 114.25 and 47.82
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Solution
The fourth proportional to 82.79, 114.25 and 47.82 is: 65.99
Step by Step Solution
- Step 1: Write the proportion equation
82.79 : 114.25 = 47.82 : x - Step 2: Convert to fraction form
82.79/114.25 = 47.82/x - Step 3: Cross multiply
82.79x = 114.25 × 47.82 - Step 4: Simplify right side
82.79x = 5,463.44 - Step 5: Solve for x
x = 5,463.44/82.79 - Step 6: Final answer
x = 65.99
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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.