Finding the Fourth Proportional to 54, 74.55 and 36.78
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Solution
The fourth proportional to 54, 74.55 and 36.78 is: 50.78
Step by Step Solution
- Step 1: Write the proportion equation
54 : 74.55 = 36.78 : x - Step 2: Convert to fraction form
54/74.55 = 36.78/x - Step 3: Cross multiply
54x = 74.55 × 36.78 - Step 4: Simplify right side
54x = 2,741.95 - Step 5: Solve for x
x = 2,741.95/54 - Step 6: Final answer
x = 50.78
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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.