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Finding the Fourth Proportional to 288.26, 396.96 and 200.78

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Solution

The fourth proportional to 288.26, 396.96 and 200.78 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 396.96 = 200.78 : x
  2. Step 2: Convert to fraction form
    288.26/396.96 = 200.78/x
  3. Step 3: Cross multiply
    288.26x = 396.96 × 200.78
  4. Step 4: Simplify right side
    288.26x = 79,701.63
  5. Step 5: Solve for x
    x = 79,701.63/288.26
  6. Step 6: Final answer
    x = 276.49

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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.