Finding the Fourth Proportional to 313.65, 467.99 and 282.99
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Solution
The fourth proportional to 313.65, 467.99 and 282.99 is: 422.24
Step by Step Solution
- Step 1: Write the proportion equation
313.65 : 467.99 = 282.99 : x - Step 2: Convert to fraction form
313.65/467.99 = 282.99/x - Step 3: Cross multiply
313.65x = 467.99 × 282.99 - Step 4: Simplify right side
313.65x = 132,435.08 - Step 5: Solve for x
x = 132,435.08/313.65 - Step 6: Final answer
x = 422.24
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.