Finding the Fourth Proportional to 270.31, 405.47 and 107.99
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Solution
The fourth proportional to 270.31, 405.47 and 107.99 is: 161.99
Step by Step Solution
- Step 1: Write the proportion equation
270.31 : 405.47 = 107.99 : x - Step 2: Convert to fraction form
270.31/405.47 = 107.99/x - Step 3: Cross multiply
270.31x = 405.47 × 107.99 - Step 4: Simplify right side
270.31x = 43,786.71 - Step 5: Solve for x
x = 43,786.71/270.31 - Step 6: Final answer
x = 161.99
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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.