Finding the Fourth Proportional to 103.14, 154.71 and 31
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Solution
The fourth proportional to 103.14, 154.71 and 31 is: 46.50
Step by Step Solution
- Step 1: Write the proportion equation
103.14 : 154.71 = 31 : x - Step 2: Convert to fraction form
103.14/154.71 = 31/x - Step 3: Cross multiply
103.14x = 154.71 × 31 - Step 4: Simplify right side
103.14x = 4,796.01 - Step 5: Solve for x
x = 4,796.01/103.14 - Step 6: Final answer
x = 46.50
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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.