Finding the Fourth Proportional to 120.78, 181.29 and 59.96
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Solution
The fourth proportional to 120.78, 181.29 and 59.96 is: 89.99
Step by Step Solution
- Step 1: Write the proportion equation
120.78 : 181.29 = 59.96 : x - Step 2: Convert to fraction form
120.78/181.29 = 59.96/x - Step 3: Cross multiply
120.78x = 181.29 × 59.96 - Step 4: Simplify right side
120.78x = 10,869.24 - Step 5: Solve for x
x = 10,869.24/120.78 - Step 6: Final answer
x = 89.99
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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.