Finding the Fourth Proportional to 105.89, 158.66 and 50.99
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Solution
The fourth proportional to 105.89, 158.66 and 50.99 is: 76.39
Step by Step Solution
- Step 1: Write the proportion equation
105.89 : 158.66 = 50.99 : x - Step 2: Convert to fraction form
105.89/158.66 = 50.99/x - Step 3: Cross multiply
105.89x = 158.66 × 50.99 - Step 4: Simplify right side
105.89x = 8,089.03 - Step 5: Solve for x
x = 8,089.03/105.89 - Step 6: Final answer
x = 76.39
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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.