Finding the Fourth Proportional to 117.99, 177.08 and 49.54
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Solution
The fourth proportional to 117.99, 177.08 and 49.54 is: 74.35
Step by Step Solution
- Step 1: Write the proportion equation
117.99 : 177.08 = 49.54 : x - Step 2: Convert to fraction form
117.99/177.08 = 49.54/x - Step 3: Cross multiply
117.99x = 177.08 × 49.54 - Step 4: Simplify right side
117.99x = 8,772.54 - Step 5: Solve for x
x = 8,772.54/117.99 - Step 6: Final answer
x = 74.35
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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.