Finding the Fourth Proportional to 76.62, 114.99 and 30.99
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Solution
The fourth proportional to 76.62, 114.99 and 30.99 is: 46.51
Step by Step Solution
- Step 1: Write the proportion equation
76.62 : 114.99 = 30.99 : x - Step 2: Convert to fraction form
76.62/114.99 = 30.99/x - Step 3: Cross multiply
76.62x = 114.99 × 30.99 - Step 4: Simplify right side
76.62x = 3,563.54 - Step 5: Solve for x
x = 3,563.54/76.62 - Step 6: Final answer
x = 46.51
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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.