Finding the Fourth Proportional to 207.77, 311.63 and 86.02
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Solution
The fourth proportional to 207.77, 311.63 and 86.02 is: 129.02
Step by Step Solution
- Step 1: Write the proportion equation
207.77 : 311.63 = 86.02 : x - Step 2: Convert to fraction form
207.77/311.63 = 86.02/x - Step 3: Cross multiply
207.77x = 311.63 × 86.02 - Step 4: Simplify right side
207.77x = 26,806.41 - Step 5: Solve for x
x = 26,806.41/207.77 - Step 6: Final answer
x = 129.02
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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.