Finding the Fourth Proportional to 31.29, 46.56 and 30.08
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Solution
The fourth proportional to 31.29, 46.56 and 30.08 is: 44.75
Step by Step Solution
- Step 1: Write the proportion equation
31.29 : 46.56 = 30.08 : x - Step 2: Convert to fraction form
31.29/46.56 = 30.08/x - Step 3: Cross multiply
31.29x = 46.56 × 30.08 - Step 4: Simplify right side
31.29x = 1,400.29 - Step 5: Solve for x
x = 1,400.29/31.29 - Step 6: Final answer
x = 44.75
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.