Finding the Fourth Proportional to 75.81, 113.64 and 39.68
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Solution
The fourth proportional to 75.81, 113.64 and 39.68 is: 59.48
Step by Step Solution
- Step 1: Write the proportion equation
75.81 : 113.64 = 39.68 : x - Step 2: Convert to fraction form
75.81/113.64 = 39.68/x - Step 3: Cross multiply
75.81x = 113.64 × 39.68 - Step 4: Simplify right side
75.81x = 4,509.24 - Step 5: Solve for x
x = 4,509.24/75.81 - Step 6: Final answer
x = 59.48
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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.