Finding the Fourth Proportional to 205.80, 284.26 and 199.08
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Solution
The fourth proportional to 205.80, 284.26 and 199.08 is: 274.98
Step by Step Solution
- Step 1: Write the proportion equation
205.80 : 284.26 = 199.08 : x - Step 2: Convert to fraction form
205.80/284.26 = 199.08/x - Step 3: Cross multiply
205.80x = 284.26 × 199.08 - Step 4: Simplify right side
205.80x = 56,590.48 - Step 5: Solve for x
x = 56,590.48/205.80 - Step 6: Final answer
x = 274.98
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.