Finding the Fourth Proportional to 179.66, 269.44 and 76.99
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Solution
The fourth proportional to 179.66, 269.44 and 76.99 is: 115.47
Step by Step Solution
- Step 1: Write the proportion equation
179.66 : 269.44 = 76.99 : x - Step 2: Convert to fraction form
179.66/269.44 = 76.99/x - Step 3: Cross multiply
179.66x = 269.44 × 76.99 - Step 4: Simplify right side
179.66x = 20,744.26 - Step 5: Solve for x
x = 20,744.26/179.66 - Step 6: Final answer
x = 115.47
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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.