Finding the Fourth Proportional to 205.58, 283.74 and 131.99
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Solution
The fourth proportional to 205.58, 283.74 and 131.99 is: 182.17
Step by Step Solution
- Step 1: Write the proportion equation
205.58 : 283.74 = 131.99 : x - Step 2: Convert to fraction form
205.58/283.74 = 131.99/x - Step 3: Cross multiply
205.58x = 283.74 × 131.99 - Step 4: Simplify right side
205.58x = 37,450.84 - Step 5: Solve for x
x = 37,450.84/205.58 - Step 6: Final answer
x = 182.17
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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.