Finding the Fourth Proportional to 100.47, 150.70 and 31.99
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Solution
The fourth proportional to 100.47, 150.70 and 31.99 is: 47.98
Step by Step Solution
- Step 1: Write the proportion equation
100.47 : 150.70 = 31.99 : x - Step 2: Convert to fraction form
100.47/150.70 = 31.99/x - Step 3: Cross multiply
100.47x = 150.70 × 31.99 - Step 4: Simplify right side
100.47x = 4,820.89 - Step 5: Solve for x
x = 4,820.89/100.47 - Step 6: Final answer
x = 47.98
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.