Finding the Fourth Proportional to 311.81, 430.08 and 193.66
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Solution
The fourth proportional to 311.81, 430.08 and 193.66 is: 267.11
Step by Step Solution
- Step 1: Write the proportion equation
311.81 : 430.08 = 193.66 : x - Step 2: Convert to fraction form
311.81/430.08 = 193.66/x - Step 3: Cross multiply
311.81x = 430.08 × 193.66 - Step 4: Simplify right side
311.81x = 83,287.14 - Step 5: Solve for x
x = 83,287.14/311.81 - Step 6: Final answer
x = 267.11
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.