Finding the Fourth Proportional to 82.80, 114.26 and 47.83
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Solution
The fourth proportional to 82.80, 114.26 and 47.83 is: 65.99
Step by Step Solution
- Step 1: Write the proportion equation
82.80 : 114.26 = 47.83 : x - Step 2: Convert to fraction form
82.80/114.26 = 47.83/x - Step 3: Cross multiply
82.80x = 114.26 × 47.83 - Step 4: Simplify right side
82.80x = 5,464.25 - Step 5: Solve for x
x = 5,464.25/82.80 - 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.