Finding the Fourth Proportional to 77.19, 115.80 and 25.84
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Solution
The fourth proportional to 77.19, 115.80 and 25.84 is: 38.76
Step by Step Solution
- Step 1: Write the proportion equation
77.19 : 115.80 = 25.84 : x - Step 2: Convert to fraction form
77.19/115.80 = 25.84/x - Step 3: Cross multiply
77.19x = 115.80 × 25.84 - Step 4: Simplify right side
77.19x = 2,991.98 - Step 5: Solve for x
x = 2,991.98/77.19 - Step 6: Final answer
x = 38.76
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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.