Finding the Fourth Proportional to 76.05, 114.12 and 49.02
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Solution
The fourth proportional to 76.05, 114.12 and 49.02 is: 73.56
Step by Step Solution
- Step 1: Write the proportion equation
76.05 : 114.12 = 49.02 : x - Step 2: Convert to fraction form
76.05/114.12 = 49.02/x - Step 3: Cross multiply
76.05x = 114.12 × 49.02 - Step 4: Simplify right side
76.05x = 5,594.16 - Step 5: Solve for x
x = 5,594.16/76.05 - Step 6: Final answer
x = 73.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.