Finding the Fourth Proportional to 42.02, 57.92 and 29.74
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Solution
The fourth proportional to 42.02, 57.92 and 29.74 is: 40.99
Step by Step Solution
- Step 1: Write the proportion equation
42.02 : 57.92 = 29.74 : x - Step 2: Convert to fraction form
42.02/57.92 = 29.74/x - Step 3: Cross multiply
42.02x = 57.92 × 29.74 - Step 4: Simplify right side
42.02x = 1,722.54 - Step 5: Solve for x
x = 1,722.54/42.02 - Step 6: Final answer
x = 40.99
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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.