Finding the Fourth Proportional to 75.74, 113.40 and 49.99
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Solution
The fourth proportional to 75.74, 113.40 and 49.99 is: 74.85
Step by Step Solution
- Step 1: Write the proportion equation
75.74 : 113.40 = 49.99 : x - Step 2: Convert to fraction form
75.74/113.40 = 49.99/x - Step 3: Cross multiply
75.74x = 113.40 × 49.99 - Step 4: Simplify right side
75.74x = 5,668.99 - Step 5: Solve for x
x = 5,668.99/75.74 - Step 6: Final answer
x = 74.85
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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.