Finding the Fourth Proportional to 207.84, 311.70 and 130.74
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Solution
The fourth proportional to 207.84, 311.70 and 130.74 is: 196.07
Step by Step Solution
- Step 1: Write the proportion equation
207.84 : 311.70 = 130.74 : x - Step 2: Convert to fraction form
207.84/311.70 = 130.74/x - Step 3: Cross multiply
207.84x = 311.70 × 130.74 - Step 4: Simplify right side
207.84x = 40,751.66 - Step 5: Solve for x
x = 40,751.66/207.84 - Step 6: Final answer
x = 196.07
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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.