Finding the Fourth Proportional to 193.08, 289.58 and 111.86
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Solution
The fourth proportional to 193.08, 289.58 and 111.86 is: 167.77
Step by Step Solution
- Step 1: Write the proportion equation
193.08 : 289.58 = 111.86 : x - Step 2: Convert to fraction form
193.08/289.58 = 111.86/x - Step 3: Cross multiply
193.08x = 289.58 × 111.86 - Step 4: Simplify right side
193.08x = 32,392.42 - Step 5: Solve for x
x = 32,392.42/193.08 - Step 6: Final answer
x = 167.77
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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.