Finding the Fourth Proportional to 229.68, 344 and 113.96
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Solution
The fourth proportional to 229.68, 344 and 113.96 is: 170.68
Step by Step Solution
- Step 1: Write the proportion equation
229.68 : 344 = 113.96 : x - Step 2: Convert to fraction form
229.68/344 = 113.96/x - Step 3: Cross multiply
229.68x = 344 × 113.96 - Step 4: Simplify right side
229.68x = 39,202.24 - Step 5: Solve for x
x = 39,202.24/229.68 - Step 6: Final answer
x = 170.68
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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.