Finding the Fourth Proportional to 263.99, 364.41 and 202.07
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Solution
The fourth proportional to 263.99, 364.41 and 202.07 is: 278.94
Step by Step Solution
- Step 1: Write the proportion equation
263.99 : 364.41 = 202.07 : x - Step 2: Convert to fraction form
263.99/364.41 = 202.07/x - Step 3: Cross multiply
263.99x = 364.41 × 202.07 - Step 4: Simplify right side
263.99x = 73,637.24 - Step 5: Solve for x
x = 73,637.24/263.99 - Step 6: Final answer
x = 278.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.