Finding the Fourth Proportional to 177.97, 245.44 and 115.74
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Solution
The fourth proportional to 177.97, 245.44 and 115.74 is: 159.62
Step by Step Solution
- Step 1: Write the proportion equation
177.97 : 245.44 = 115.74 : x - Step 2: Convert to fraction form
177.97/245.44 = 115.74/x - Step 3: Cross multiply
177.97x = 245.44 × 115.74 - Step 4: Simplify right side
177.97x = 28,407.23 - Step 5: Solve for x
x = 28,407.23/177.97 - Step 6: Final answer
x = 159.62
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.