Finding the Fourth Proportional to 230.26, 344.82 and 122.08
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Solution
The fourth proportional to 230.26, 344.82 and 122.08 is: 182.82
Step by Step Solution
- Step 1: Write the proportion equation
230.26 : 344.82 = 122.08 : x - Step 2: Convert to fraction form
230.26/344.82 = 122.08/x - Step 3: Cross multiply
230.26x = 344.82 × 122.08 - Step 4: Simplify right side
230.26x = 42,095.63 - Step 5: Solve for x
x = 42,095.63/230.26 - Step 6: Final answer
x = 182.82
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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.