Finding the Fourth Proportional to 52.23, 78.32 and 35.99
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Solution
The fourth proportional to 52.23, 78.32 and 35.99 is: 53.96
Step by Step Solution
- Step 1: Write the proportion equation
52.23 : 78.32 = 35.99 : x - Step 2: Convert to fraction form
52.23/78.32 = 35.99/x - Step 3: Cross multiply
52.23x = 78.32 × 35.99 - Step 4: Simplify right side
52.23x = 2,818.53 - Step 5: Solve for x
x = 2,818.53/52.23 - Step 6: Final answer
x = 53.96
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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.