Finding the Fourth Proportional to 208.31, 286.94 and 198.99
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Solution
The fourth proportional to 208.31, 286.94 and 198.99 is: 274.11
Step by Step Solution
- Step 1: Write the proportion equation
208.31 : 286.94 = 198.99 : x - Step 2: Convert to fraction form
208.31/286.94 = 198.99/x - Step 3: Cross multiply
208.31x = 286.94 × 198.99 - Step 4: Simplify right side
208.31x = 57,098.69 - Step 5: Solve for x
x = 57,098.69/208.31 - Step 6: Final answer
x = 274.11
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.