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Finding the Fourth Proportional to 277.57, 382.92 and 161.06

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Solution

The fourth proportional to 277.57, 382.92 and 161.06 is: 222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.57 : 382.92 = 161.06 : x
  2. Step 2: Convert to fraction form
    277.57/382.92 = 161.06/x
  3. Step 3: Cross multiply
    277.57x = 382.92 × 161.06
  4. Step 4: Simplify right side
    277.57x = 61,673.45
  5. Step 5: Solve for x
    x = 61,673.45/277.57
  6. Step 6: Final answer
    x = 222.19

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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.