Finding the Fourth Proportional to 53.74, 80.42 and 39.98
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Solution
The fourth proportional to 53.74, 80.42 and 39.98 is: 59.83
Step by Step Solution
- Step 1: Write the proportion equation
53.74 : 80.42 = 39.98 : x - Step 2: Convert to fraction form
53.74/80.42 = 39.98/x - Step 3: Cross multiply
53.74x = 80.42 × 39.98 - Step 4: Simplify right side
53.74x = 3,215.19 - Step 5: Solve for x
x = 3,215.19/53.74 - Step 6: Final answer
x = 59.83
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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.