Finding the Fourth Proportional to 76.24, 113.77 and 74.08
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Solution
The fourth proportional to 76.24, 113.77 and 74.08 is: 110.55
Step by Step Solution
- Step 1: Write the proportion equation
76.24 : 113.77 = 74.08 : x - Step 2: Convert to fraction form
76.24/113.77 = 74.08/x - Step 3: Cross multiply
76.24x = 113.77 × 74.08 - Step 4: Simplify right side
76.24x = 8,428.08 - Step 5: Solve for x
x = 8,428.08/76.24 - Step 6: Final answer
x = 110.55
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.