Finding the Fourth Proportional to 75.57, 113.25 and 52.71
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Solution
The fourth proportional to 75.57, 113.25 and 52.71 is: 78.99
Step by Step Solution
- Step 1: Write the proportion equation
75.57 : 113.25 = 52.71 : x - Step 2: Convert to fraction form
75.57/113.25 = 52.71/x - Step 3: Cross multiply
75.57x = 113.25 × 52.71 - Step 4: Simplify right side
75.57x = 5,969.41 - Step 5: Solve for x
x = 5,969.41/75.57 - Step 6: Final answer
x = 78.99
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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.