Finding the Fourth Proportional to 214.94, 322.26 and 76.08
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Solution
The fourth proportional to 214.94, 322.26 and 76.08 is: 114.07
Step by Step Solution
- Step 1: Write the proportion equation
214.94 : 322.26 = 76.08 : x - Step 2: Convert to fraction form
214.94/322.26 = 76.08/x - Step 3: Cross multiply
214.94x = 322.26 × 76.08 - Step 4: Simplify right side
214.94x = 24,517.54 - Step 5: Solve for x
x = 24,517.54/214.94 - Step 6: Final answer
x = 114.07
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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.