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Finding the Fourth Proportional to 277.67, 382.92 and 212.06

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Solution

The fourth proportional to 277.67, 382.92 and 212.06 is: 292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 382.92 = 212.06 : x
  2. Step 2: Convert to fraction form
    277.67/382.92 = 212.06/x
  3. Step 3: Cross multiply
    277.67x = 382.92 × 212.06
  4. Step 4: Simplify right side
    277.67x = 81,202.02
  5. Step 5: Solve for x
    x = 81,202.02/277.67
  6. Step 6: Final answer
    x = 292.44

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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.