Finding the Fourth Proportional to 105.84, 158.81 and 80.31
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Solution
The fourth proportional to 105.84, 158.81 and 80.31 is: 120.50
Step by Step Solution
- Step 1: Write the proportion equation
105.84 : 158.81 = 80.31 : x - Step 2: Convert to fraction form
105.84/158.81 = 80.31/x - Step 3: Cross multiply
105.84x = 158.81 × 80.31 - Step 4: Simplify right side
105.84x = 12,754.23 - Step 5: Solve for x
x = 12,754.23/105.84 - Step 6: Final answer
x = 120.50
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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.