Finding the Fourth Proportional to 54.01, 74.52 and 31.88
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Solution
The fourth proportional to 54.01, 74.52 and 31.88 is: 43.99
Step by Step Solution
- Step 1: Write the proportion equation
54.01 : 74.52 = 31.88 : x - Step 2: Convert to fraction form
54.01/74.52 = 31.88/x - Step 3: Cross multiply
54.01x = 74.52 × 31.88 - Step 4: Simplify right side
54.01x = 2,375.70 - Step 5: Solve for x
x = 2,375.70/54.01 - Step 6: Final answer
x = 43.99
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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.