Finding the Fourth Proportional to 83.62, 115.41 and 46.80
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Solution
The fourth proportional to 83.62, 115.41 and 46.80 is: 64.59
Step by Step Solution
- Step 1: Write the proportion equation
83.62 : 115.41 = 46.80 : x - Step 2: Convert to fraction form
83.62/115.41 = 46.80/x - Step 3: Cross multiply
83.62x = 115.41 × 46.80 - Step 4: Simplify right side
83.62x = 5,401.19 - Step 5: Solve for x
x = 5,401.19/83.62 - Step 6: Final answer
x = 64.59
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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.