Finding the Fourth Proportional to 67.58, 101.35 and 31.00
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Solution
The fourth proportional to 67.58, 101.35 and 31.00 is: 46.50
Step by Step Solution
- Step 1: Write the proportion equation
67.58 : 101.35 = 31.00 : x - Step 2: Convert to fraction form
67.58/101.35 = 31.00/x - Step 3: Cross multiply
67.58x = 101.35 × 31.00 - Step 4: Simplify right side
67.58x = 3,142.18 - Step 5: Solve for x
x = 3,142.18/67.58 - 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.