Finding the Fourth Proportional to 41.97, 57.88 and 31.05
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Solution
The fourth proportional to 41.97, 57.88 and 31.05 is: 42.82
Step by Step Solution
- Step 1: Write the proportion equation
41.97 : 57.88 = 31.05 : x - Step 2: Convert to fraction form
41.97/57.88 = 31.05/x - Step 3: Cross multiply
41.97x = 57.88 × 31.05 - Step 4: Simplify right side
41.97x = 1,797.21 - Step 5: Solve for x
x = 1,797.21/41.97 - Step 6: Final answer
x = 42.82
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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.