Finding the Fourth Proportional to 202.14, 278.98 and 135.82
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Solution
The fourth proportional to 202.14, 278.98 and 135.82 is: 187.45
Step by Step Solution
- Step 1: Write the proportion equation
202.14 : 278.98 = 135.82 : x - Step 2: Convert to fraction form
202.14/278.98 = 135.82/x - Step 3: Cross multiply
202.14x = 278.98 × 135.82 - Step 4: Simplify right side
202.14x = 37,891.06 - Step 5: Solve for x
x = 37,891.06/202.14 - Step 6: Final answer
x = 187.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.