Finding the Fourth Proportional to 107.22, 147.81 and 83.82
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Solution
The fourth proportional to 107.22, 147.81 and 83.82 is: 115.55
Step by Step Solution
- Step 1: Write the proportion equation
107.22 : 147.81 = 83.82 : x - Step 2: Convert to fraction form
107.22/147.81 = 83.82/x - Step 3: Cross multiply
107.22x = 147.81 × 83.82 - Step 4: Simplify right side
107.22x = 12,389.43 - Step 5: Solve for x
x = 12,389.43/107.22 - Step 6: Final answer
x = 115.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.