Finding the Fourth Proportional to 107.25, 160.76 and 46.31
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Solution
The fourth proportional to 107.25, 160.76 and 46.31 is: 69.42
Step by Step Solution
- Step 1: Write the proportion equation
107.25 : 160.76 = 46.31 : x - Step 2: Convert to fraction form
107.25/160.76 = 46.31/x - Step 3: Cross multiply
107.25x = 160.76 × 46.31 - Step 4: Simplify right side
107.25x = 7,445.31 - Step 5: Solve for x
x = 7,445.31/107.25 - Step 6: Final answer
x = 69.42
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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.