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Finding the Fourth Proportional to 277.44, 382.90 and 161

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Solution

The fourth proportional to 277.44, 382.90 and 161 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 382.90 = 161 : x
  2. Step 2: Convert to fraction form
    277.44/382.90 = 161/x
  3. Step 3: Cross multiply
    277.44x = 382.90 × 161
  4. Step 4: Simplify right side
    277.44x = 61,646.90
  5. Step 5: Solve for x
    x = 61,646.90/277.44
  6. Step 6: Final answer
    x = 222.20

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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.