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Finding the Fourth Proportional to 278.41, 384.33 and 200.12

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Solution

The fourth proportional to 278.41, 384.33 and 200.12 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 384.33 = 200.12 : x
  2. Step 2: Convert to fraction form
    278.41/384.33 = 200.12/x
  3. Step 3: Cross multiply
    278.41x = 384.33 × 200.12
  4. Step 4: Simplify right side
    278.41x = 76,912.14
  5. Step 5: Solve for x
    x = 76,912.14/278.41
  6. Step 6: Final answer
    x = 276.25

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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.