Finding the Fourth Proportional to 52.42, 78.56 and 27.99
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Solution
The fourth proportional to 52.42, 78.56 and 27.99 is: 41.95
Step by Step Solution
- Step 1: Write the proportion equation
52.42 : 78.56 = 27.99 : x - Step 2: Convert to fraction form
52.42/78.56 = 27.99/x - Step 3: Cross multiply
52.42x = 78.56 × 27.99 - Step 4: Simplify right side
52.42x = 2,198.89 - Step 5: Solve for x
x = 2,198.89/52.42 - Step 6: Final answer
x = 41.95
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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.