Finding the Fourth Proportional to 177.80, 266.70 and 47.80
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Solution
The fourth proportional to 177.80, 266.70 and 47.80 is: 71.70
Step by Step Solution
- Step 1: Write the proportion equation
177.80 : 266.70 = 47.80 : x - Step 2: Convert to fraction form
177.80/266.70 = 47.80/x - Step 3: Cross multiply
177.80x = 266.70 × 47.80 - Step 4: Simplify right side
177.80x = 12,748.26 - Step 5: Solve for x
x = 12,748.26/177.80 - Step 6: Final answer
x = 71.70
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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.