Finding the Fourth Proportional to 181.78, 272.64 and 53.50
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Solution
The fourth proportional to 181.78, 272.64 and 53.50 is: 80.24
Step by Step Solution
- Step 1: Write the proportion equation
181.78 : 272.64 = 53.50 : x - Step 2: Convert to fraction form
181.78/272.64 = 53.50/x - Step 3: Cross multiply
181.78x = 272.64 × 53.50 - Step 4: Simplify right side
181.78x = 14,586.24 - Step 5: Solve for x
x = 14,586.24/181.78 - Step 6: Final answer
x = 80.24
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.