Finding the Fourth Proportional to 31.09, 46.56 and 22.05
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Solution
The fourth proportional to 31.09, 46.56 and 22.05 is: 33.02
Step by Step Solution
- Step 1: Write the proportion equation
31.09 : 46.56 = 22.05 : x - Step 2: Convert to fraction form
31.09/46.56 = 22.05/x - Step 3: Cross multiply
31.09x = 46.56 × 22.05 - Step 4: Simplify right side
31.09x = 1,026.54 - Step 5: Solve for x
x = 1,026.54/31.09 - Step 6: Final answer
x = 33.02
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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.