Finding the Fourth Proportional to 229.28, 343.80 and 113.84
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Solution
The fourth proportional to 229.28, 343.80 and 113.84 is: 170.70
Step by Step Solution
- Step 1: Write the proportion equation
229.28 : 343.80 = 113.84 : x - Step 2: Convert to fraction form
229.28/343.80 = 113.84/x - Step 3: Cross multiply
229.28x = 343.80 × 113.84 - Step 4: Simplify right side
229.28x = 39,138.19 - Step 5: Solve for x
x = 39,138.19/229.28 - Step 6: Final answer
x = 170.70
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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.