Finding the Fourth Proportional to 31.73, 47.50 and 22.70
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Solution
The fourth proportional to 31.73, 47.50 and 22.70 is: 33.99
Step by Step Solution
- Step 1: Write the proportion equation
31.73 : 47.50 = 22.70 : x - Step 2: Convert to fraction form
31.73/47.50 = 22.70/x - Step 3: Cross multiply
31.73x = 47.50 × 22.70 - Step 4: Simplify right side
31.73x = 1,078.31 - Step 5: Solve for x
x = 1,078.31/31.73 - Step 6: Final answer
x = 33.99
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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.