Finding the Fourth Proportional to 183.14, 274.44 and 114.74
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Solution
The fourth proportional to 183.14, 274.44 and 114.74 is: 171.94
Step by Step Solution
- Step 1: Write the proportion equation
183.14 : 274.44 = 114.74 : x - Step 2: Convert to fraction form
183.14/274.44 = 114.74/x - Step 3: Cross multiply
183.14x = 274.44 × 114.74 - Step 4: Simplify right side
183.14x = 31,489.25 - Step 5: Solve for x
x = 31,489.25/183.14 - Step 6: Final answer
x = 171.94
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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.