Finding the Fourth Proportional to 157.44, 236.10 and 47.74
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Solution
The fourth proportional to 157.44, 236.10 and 47.74 is: 71.59
Step by Step Solution
- Step 1: Write the proportion equation
157.44 : 236.10 = 47.74 : x - Step 2: Convert to fraction form
157.44/236.10 = 47.74/x - Step 3: Cross multiply
157.44x = 236.10 × 47.74 - Step 4: Simplify right side
157.44x = 11,271.41 - Step 5: Solve for x
x = 11,271.41/157.44 - Step 6: Final answer
x = 71.59
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.