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Finding the Fourth Proportional to 278.62, 384.53 and 204.97

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Solution

The fourth proportional to 278.62, 384.53 and 204.97 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 384.53 = 204.97 : x
  2. Step 2: Convert to fraction form
    278.62/384.53 = 204.97/x
  3. Step 3: Cross multiply
    278.62x = 384.53 × 204.97
  4. Step 4: Simplify right side
    278.62x = 78,817.11
  5. Step 5: Solve for x
    x = 78,817.11/278.62
  6. Step 6: Final answer
    x = 282.88

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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.