Finding the Fourth Proportional to 42.13, 58.16 and 30.49
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Solution
The fourth proportional to 42.13, 58.16 and 30.49 is: 42.09
Step by Step Solution
- Step 1: Write the proportion equation
42.13 : 58.16 = 30.49 : x - Step 2: Convert to fraction form
42.13/58.16 = 30.49/x - Step 3: Cross multiply
42.13x = 58.16 × 30.49 - Step 4: Simplify right side
42.13x = 1,773.15 - Step 5: Solve for x
x = 1,773.15/42.13 - Step 6: Final answer
x = 42.09
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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.