Finding the Fourth Proportional to 83.98, 115.82 and 51.20
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Solution
The fourth proportional to 83.98, 115.82 and 51.20 is: 70.61
Step by Step Solution
- Step 1: Write the proportion equation
83.98 : 115.82 = 51.20 : x - Step 2: Convert to fraction form
83.98/115.82 = 51.20/x - Step 3: Cross multiply
83.98x = 115.82 × 51.20 - Step 4: Simplify right side
83.98x = 5,929.73 - Step 5: Solve for x
x = 5,929.73/83.98 - Step 6: Final answer
x = 70.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.