Finding the Fourth Proportional to 38.53, 53.16 and 22.99
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Solution
The fourth proportional to 38.53, 53.16 and 22.99 is: 31.72
Step by Step Solution
- Step 1: Write the proportion equation
38.53 : 53.16 = 22.99 : x - Step 2: Convert to fraction form
38.53/53.16 = 22.99/x - Step 3: Cross multiply
38.53x = 53.16 × 22.99 - Step 4: Simplify right side
38.53x = 1,222.15 - Step 5: Solve for x
x = 1,222.15/38.53 - Step 6: Final answer
x = 31.72
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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.