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Finding the Fourth Proportional to 288.98, 398.22 and 205.85

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Solution

The fourth proportional to 288.98, 398.22 and 205.85 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 398.22 = 205.85 : x
  2. Step 2: Convert to fraction form
    288.98/398.22 = 205.85/x
  3. Step 3: Cross multiply
    288.98x = 398.22 × 205.85
  4. Step 4: Simplify right side
    288.98x = 81,972.56
  5. Step 5: Solve for x
    x = 81,972.56/288.98
  6. Step 6: Final answer
    x = 283.66

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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.