Finding the Fourth Proportional to 53.77, 74.12 and 42.09
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Solution
The fourth proportional to 53.77, 74.12 and 42.09 is: 58.02
Step by Step Solution
- Step 1: Write the proportion equation
53.77 : 74.12 = 42.09 : x - Step 2: Convert to fraction form
53.77/74.12 = 42.09/x - Step 3: Cross multiply
53.77x = 74.12 × 42.09 - Step 4: Simplify right side
53.77x = 3,119.50 - Step 5: Solve for x
x = 3,119.50/53.77 - Step 6: Final answer
x = 58.02
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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.