Finding the Fourth Proportional to 286.77, 396.18 and 199.74
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Solution
The fourth proportional to 286.77, 396.18 and 199.74 is: 275.95
Step by Step Solution
- Step 1: Write the proportion equation
286.77 : 396.18 = 199.74 : x - Step 2: Convert to fraction form
286.77/396.18 = 199.74/x - Step 3: Cross multiply
286.77x = 396.18 × 199.74 - Step 4: Simplify right side
286.77x = 79,132.99 - Step 5: Solve for x
x = 79,132.99/286.77 - Step 6: Final answer
x = 275.95
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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.