Finding the Fourth Proportional to 207.87, 312 and 199.77
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Solution
The fourth proportional to 207.87, 312 and 199.77 is: 299.84
Step by Step Solution
- Step 1: Write the proportion equation
207.87 : 312 = 199.77 : x - Step 2: Convert to fraction form
207.87/312 = 199.77/x - Step 3: Cross multiply
207.87x = 312 × 199.77 - Step 4: Simplify right side
207.87x = 62,328.24 - Step 5: Solve for x
x = 62,328.24/207.87 - Step 6: Final answer
x = 299.84
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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.