Finding the Fourth Proportional to 77.09, 106.26 and 58.58
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Solution
The fourth proportional to 77.09, 106.26 and 58.58 is: 80.75
Step by Step Solution
- Step 1: Write the proportion equation
77.09 : 106.26 = 58.58 : x - Step 2: Convert to fraction form
77.09/106.26 = 58.58/x - Step 3: Cross multiply
77.09x = 106.26 × 58.58 - Step 4: Simplify right side
77.09x = 6,224.71 - Step 5: Solve for x
x = 6,224.71/77.09 - Step 6: Final answer
x = 80.75
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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.