Finding the Fourth Proportional to 31.86, 43.92 and 27.99
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Solution
The fourth proportional to 31.86, 43.92 and 27.99 is: 38.59
Step by Step Solution
- Step 1: Write the proportion equation
31.86 : 43.92 = 27.99 : x - Step 2: Convert to fraction form
31.86/43.92 = 27.99/x - Step 3: Cross multiply
31.86x = 43.92 × 27.99 - Step 4: Simplify right side
31.86x = 1,229.32 - Step 5: Solve for x
x = 1,229.32/31.86 - Step 6: Final answer
x = 38.59
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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.