Finding the Fourth Proportional to 31.02, 46.50 and 21.99
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Solution
The fourth proportional to 31.02, 46.50 and 21.99 is: 32.96
Step by Step Solution
- Step 1: Write the proportion equation
31.02 : 46.50 = 21.99 : x - Step 2: Convert to fraction form
31.02/46.50 = 21.99/x - Step 3: Cross multiply
31.02x = 46.50 × 21.99 - Step 4: Simplify right side
31.02x = 1,022.54 - Step 5: Solve for x
x = 1,022.54/31.02 - Step 6: Final answer
x = 32.96
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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.