Finding the Fourth Proportional to 77.42, 106.80 and 58.08
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Solution
The fourth proportional to 77.42, 106.80 and 58.08 is: 80.12
Step by Step Solution
- Step 1: Write the proportion equation
77.42 : 106.80 = 58.08 : x - Step 2: Convert to fraction form
77.42/106.80 = 58.08/x - Step 3: Cross multiply
77.42x = 106.80 × 58.08 - Step 4: Simplify right side
77.42x = 6,202.94 - Step 5: Solve for x
x = 6,202.94/77.42 - Step 6: Final answer
x = 80.12
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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.