Finding the Fourth Proportional to 183.24, 274.14 and 137.70
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Solution
The fourth proportional to 183.24, 274.14 and 137.70 is: 206.01
Step by Step Solution
- Step 1: Write the proportion equation
183.24 : 274.14 = 137.70 : x - Step 2: Convert to fraction form
183.24/274.14 = 137.70/x - Step 3: Cross multiply
183.24x = 274.14 × 137.70 - Step 4: Simplify right side
183.24x = 37,749.08 - Step 5: Solve for x
x = 37,749.08/183.24 - Step 6: Final answer
x = 206.01
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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.