Finding the Fourth Proportional to 52.56, 78.81 and 49.99
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Solution
The fourth proportional to 52.56, 78.81 and 49.99 is: 74.96
Step by Step Solution
- Step 1: Write the proportion equation
52.56 : 78.81 = 49.99 : x - Step 2: Convert to fraction form
52.56/78.81 = 49.99/x - Step 3: Cross multiply
52.56x = 78.81 × 49.99 - Step 4: Simplify right side
52.56x = 3,939.71 - Step 5: Solve for x
x = 3,939.71/52.56 - Step 6: Final answer
x = 74.96
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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.