Finding the Fourth Proportional to 75.99, 114.19 and 73.76
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Solution
The fourth proportional to 75.99, 114.19 and 73.76 is: 110.84
Step by Step Solution
- Step 1: Write the proportion equation
75.99 : 114.19 = 73.76 : x - Step 2: Convert to fraction form
75.99/114.19 = 73.76/x - Step 3: Cross multiply
75.99x = 114.19 × 73.76 - Step 4: Simplify right side
75.99x = 8,422.76 - Step 5: Solve for x
x = 8,422.76/75.99 - Step 6: Final answer
x = 110.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.