Finding the Fourth Proportional to 548.09, 822.14 and 177.96
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Solution
The fourth proportional to 548.09, 822.14 and 177.96 is: 266.94
Step by Step Solution
- Step 1: Write the proportion equation
548.09 : 822.14 = 177.96 : x - Step 2: Convert to fraction form
548.09/822.14 = 177.96/x - Step 3: Cross multiply
548.09x = 822.14 × 177.96 - Step 4: Simplify right side
548.09x = 146,307.14 - Step 5: Solve for x
x = 146,307.14/548.09 - Step 6: Final answer
x = 266.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.