Finding the Fourth Proportional to 42.09, 58.08 and 27.55
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Solution
The fourth proportional to 42.09, 58.08 and 27.55 is: 38.02
Step by Step Solution
- Step 1: Write the proportion equation
42.09 : 58.08 = 27.55 : x - Step 2: Convert to fraction form
42.09/58.08 = 27.55/x - Step 3: Cross multiply
42.09x = 58.08 × 27.55 - Step 4: Simplify right side
42.09x = 1,600.10 - Step 5: Solve for x
x = 1,600.10/42.09 - Step 6: Final answer
x = 38.02
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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.