Finding the Fourth Proportional to 83.81, 115.61 and 51.07
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Solution
The fourth proportional to 83.81, 115.61 and 51.07 is: 70.45
Step by Step Solution
- Step 1: Write the proportion equation
83.81 : 115.61 = 51.07 : x - Step 2: Convert to fraction form
83.81/115.61 = 51.07/x - Step 3: Cross multiply
83.81x = 115.61 × 51.07 - Step 4: Simplify right side
83.81x = 5,904.20 - Step 5: Solve for x
x = 5,904.20/83.81 - Step 6: Final answer
x = 70.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.