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Finding the Fourth Proportional to 276.90, 382.78 and 222.18

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Solution

The fourth proportional to 276.90, 382.78 and 222.18 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.90 : 382.78 = 222.18 : x
  2. Step 2: Convert to fraction form
    276.90/382.78 = 222.18/x
  3. Step 3: Cross multiply
    276.90x = 382.78 × 222.18
  4. Step 4: Simplify right side
    276.90x = 85,046.06
  5. Step 5: Solve for x
    x = 85,046.06/276.90
  6. Step 6: Final answer
    x = 307.14

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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.