Finding the Fourth Proportional to 30.98, 42.68 and 24.02
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Solution
The fourth proportional to 30.98, 42.68 and 24.02 is: 33.09
Step by Step Solution
- Step 1: Write the proportion equation
30.98 : 42.68 = 24.02 : x - Step 2: Convert to fraction form
30.98/42.68 = 24.02/x - Step 3: Cross multiply
30.98x = 42.68 × 24.02 - Step 4: Simplify right side
30.98x = 1,025.17 - Step 5: Solve for x
x = 1,025.17/30.98 - Step 6: Final answer
x = 33.09
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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.