Finding the Fourth Proportional to 207.14, 310.77 and 77.18
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Solution
The fourth proportional to 207.14, 310.77 and 77.18 is: 115.79
Step by Step Solution
- Step 1: Write the proportion equation
207.14 : 310.77 = 77.18 : x - Step 2: Convert to fraction form
207.14/310.77 = 77.18/x - Step 3: Cross multiply
207.14x = 310.77 × 77.18 - Step 4: Simplify right side
207.14x = 23,983.67 - Step 5: Solve for x
x = 23,983.67/207.14 - Step 6: Final answer
x = 115.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.