Finding the Fourth Proportional to 283.09, 424.82 and 161.44
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Solution
The fourth proportional to 283.09, 424.82 and 161.44 is: 242.27
Step by Step Solution
- Step 1: Write the proportion equation
283.09 : 424.82 = 161.44 : x - Step 2: Convert to fraction form
283.09/424.82 = 161.44/x - Step 3: Cross multiply
283.09x = 424.82 × 161.44 - Step 4: Simplify right side
283.09x = 68,582.94 - Step 5: Solve for x
x = 68,582.94/283.09 - Step 6: Final answer
x = 242.27
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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.