Finding the Fourth Proportional to 76.55, 114.81 and 38.00
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Solution
The fourth proportional to 76.55, 114.81 and 38.00 is: 56.99
Step by Step Solution
- Step 1: Write the proportion equation
76.55 : 114.81 = 38.00 : x - Step 2: Convert to fraction form
76.55/114.81 = 38.00/x - Step 3: Cross multiply
76.55x = 114.81 × 38.00 - Step 4: Simplify right side
76.55x = 4,362.40 - Step 5: Solve for x
x = 4,362.40/76.55 - Step 6: Final answer
x = 56.99
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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.