Finding the Fourth Proportional to 83.09, 114.66 and 52.00
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Solution
The fourth proportional to 83.09, 114.66 and 52.00 is: 71.75
Step by Step Solution
- Step 1: Write the proportion equation
83.09 : 114.66 = 52.00 : x - Step 2: Convert to fraction form
83.09/114.66 = 52.00/x - Step 3: Cross multiply
83.09x = 114.66 × 52.00 - Step 4: Simplify right side
83.09x = 5,962.03 - Step 5: Solve for x
x = 5,962.03/83.09 - Step 6: Final answer
x = 71.75
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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.