Finding the Fourth Proportional to 82.71, 113.88 and 72.99
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Solution
The fourth proportional to 82.71, 113.88 and 72.99 is: 100.50
Step by Step Solution
- Step 1: Write the proportion equation
82.71 : 113.88 = 72.99 : x - Step 2: Convert to fraction form
82.71/113.88 = 72.99/x - Step 3: Cross multiply
82.71x = 113.88 × 72.99 - Step 4: Simplify right side
82.71x = 8,312.10 - Step 5: Solve for x
x = 8,312.10/82.71 - Step 6: Final answer
x = 100.50
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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.