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Finding the Fourth Proportional to 278.40, 384.04 and 200.80

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Solution

The fourth proportional to 278.40, 384.04 and 200.80 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 384.04 = 200.80 : x
  2. Step 2: Convert to fraction form
    278.40/384.04 = 200.80/x
  3. Step 3: Cross multiply
    278.40x = 384.04 × 200.80
  4. Step 4: Simplify right side
    278.40x = 77,115.23
  5. Step 5: Solve for x
    x = 77,115.23/278.40
  6. Step 6: Final answer
    x = 276.99

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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.