Finding the Fourth Proportional to 106.93, 160.36 and 38.44
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Solution
The fourth proportional to 106.93, 160.36 and 38.44 is: 57.65
Step by Step Solution
- Step 1: Write the proportion equation
106.93 : 160.36 = 38.44 : x - Step 2: Convert to fraction form
106.93/160.36 = 38.44/x - Step 3: Cross multiply
106.93x = 160.36 × 38.44 - Step 4: Simplify right side
106.93x = 6,164.05 - Step 5: Solve for x
x = 6,164.05/106.93 - Step 6: Final answer
x = 57.65
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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.