Finding the Fourth Proportional to 77.71, 107.95 and 76.99
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Solution
The fourth proportional to 77.71, 107.95 and 76.99 is: 106.94
Step by Step Solution
- Step 1: Write the proportion equation
77.71 : 107.95 = 76.99 : x - Step 2: Convert to fraction form
77.71/107.95 = 76.99/x - Step 3: Cross multiply
77.71x = 107.95 × 76.99 - Step 4: Simplify right side
77.71x = 8,310.15 - Step 5: Solve for x
x = 8,310.15/77.71 - Step 6: Final answer
x = 106.94
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.