Finding the Fourth Proportional to 75.99, 113.99 and 24.62
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Solution
The fourth proportional to 75.99, 113.99 and 24.62 is: 36.93
Step by Step Solution
- Step 1: Write the proportion equation
75.99 : 113.99 = 24.62 : x - Step 2: Convert to fraction form
75.99/113.99 = 24.62/x - Step 3: Cross multiply
75.99x = 113.99 × 24.62 - Step 4: Simplify right side
75.99x = 2,806.31 - Step 5: Solve for x
x = 2,806.31/75.99 - Step 6: Final answer
x = 36.93
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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.