Finding the Fourth Proportional to 83.14, 113.95 and 81.73
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Solution
The fourth proportional to 83.14, 113.95 and 81.73 is: 112.02
Step by Step Solution
- Step 1: Write the proportion equation
83.14 : 113.95 = 81.73 : x - Step 2: Convert to fraction form
83.14/113.95 = 81.73/x - Step 3: Cross multiply
83.14x = 113.95 × 81.73 - Step 4: Simplify right side
83.14x = 9,313.13 - Step 5: Solve for x
x = 9,313.13/83.14 - Step 6: Final answer
x = 112.02
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.