Finding the Fourth Proportional to 213.68, 320.53 and 76.68
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Solution
The fourth proportional to 213.68, 320.53 and 76.68 is: 115.02
Step by Step Solution
- Step 1: Write the proportion equation
213.68 : 320.53 = 76.68 : x - Step 2: Convert to fraction form
213.68/320.53 = 76.68/x - Step 3: Cross multiply
213.68x = 320.53 × 76.68 - Step 4: Simplify right side
213.68x = 24,578.24 - Step 5: Solve for x
x = 24,578.24/213.68 - Step 6: Final answer
x = 115.02
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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.