Finding the Fourth Proportional to 167.44, 230.81 and 144
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Solution
The fourth proportional to 167.44, 230.81 and 144 is: 198.50
Step by Step Solution
- Step 1: Write the proportion equation
167.44 : 230.81 = 144 : x - Step 2: Convert to fraction form
167.44/230.81 = 144/x - Step 3: Cross multiply
167.44x = 230.81 × 144 - Step 4: Simplify right side
167.44x = 33,236.46 - Step 5: Solve for x
x = 33,236.46/167.44 - Step 6: Final answer
x = 198.50
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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.