Finding the Fourth Proportional to 83.22, 124.58 and 58.78
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Solution
The fourth proportional to 83.22, 124.58 and 58.78 is: 87.99
Step by Step Solution
- Step 1: Write the proportion equation
83.22 : 124.58 = 58.78 : x - Step 2: Convert to fraction form
83.22/124.58 = 58.78/x - Step 3: Cross multiply
83.22x = 124.58 × 58.78 - Step 4: Simplify right side
83.22x = 7,322.81 - Step 5: Solve for x
x = 7,322.81/83.22 - Step 6: Final answer
x = 87.99
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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.