Finding the Fourth Proportional to 177.84, 266.58 and 147.24
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Solution
The fourth proportional to 177.84, 266.58 and 147.24 is: 220.71
Step by Step Solution
- Step 1: Write the proportion equation
177.84 : 266.58 = 147.24 : x - Step 2: Convert to fraction form
177.84/266.58 = 147.24/x - Step 3: Cross multiply
177.84x = 266.58 × 147.24 - Step 4: Simplify right side
177.84x = 39,251.24 - Step 5: Solve for x
x = 39,251.24/177.84 - Step 6: Final answer
x = 220.71
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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.