Finding the Fourth Proportional to 31.07, 46.49 and 22.05
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Solution
The fourth proportional to 31.07, 46.49 and 22.05 is: 32.99
Step by Step Solution
- Step 1: Write the proportion equation
31.07 : 46.49 = 22.05 : x - Step 2: Convert to fraction form
31.07/46.49 = 22.05/x - Step 3: Cross multiply
31.07x = 46.49 × 22.05 - Step 4: Simplify right side
31.07x = 1,025.10 - Step 5: Solve for x
x = 1,025.10/31.07 - Step 6: Final answer
x = 32.99
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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.