Finding the Fourth Proportional to 77.96, 107.62 and 58.56
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Solution
The fourth proportional to 77.96, 107.62 and 58.56 is: 80.84
Step by Step Solution
- Step 1: Write the proportion equation
77.96 : 107.62 = 58.56 : x - Step 2: Convert to fraction form
77.96/107.62 = 58.56/x - Step 3: Cross multiply
77.96x = 107.62 × 58.56 - Step 4: Simplify right side
77.96x = 6,302.23 - Step 5: Solve for x
x = 6,302.23/77.96 - Step 6: Final answer
x = 80.84
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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.