Finding the Fourth Proportional to 52.05, 78.03 and 24.99
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Solution
The fourth proportional to 52.05, 78.03 and 24.99 is: 37.46
Step by Step Solution
- Step 1: Write the proportion equation
52.05 : 78.03 = 24.99 : x - Step 2: Convert to fraction form
52.05/78.03 = 24.99/x - Step 3: Cross multiply
52.05x = 78.03 × 24.99 - Step 4: Simplify right side
52.05x = 1,949.97 - Step 5: Solve for x
x = 1,949.97/52.05 - Step 6: Final answer
x = 37.46
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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.