Finding the Fourth Proportional to 109.03, 163.55 and 31.99
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Solution
The fourth proportional to 109.03, 163.55 and 31.99 is: 47.99
Step by Step Solution
- Step 1: Write the proportion equation
109.03 : 163.55 = 31.99 : x - Step 2: Convert to fraction form
109.03/163.55 = 31.99/x - Step 3: Cross multiply
109.03x = 163.55 × 31.99 - Step 4: Simplify right side
109.03x = 5,231.96 - Step 5: Solve for x
x = 5,231.96/109.03 - Step 6: Final answer
x = 47.99
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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.