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Finding the Fourth Proportional to 288.67, 397.94 and 205.75

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Solution

The fourth proportional to 288.67, 397.94 and 205.75 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.67 : 397.94 = 205.75 : x
  2. Step 2: Convert to fraction form
    288.67/397.94 = 205.75/x
  3. Step 3: Cross multiply
    288.67x = 397.94 × 205.75
  4. Step 4: Simplify right side
    288.67x = 81,876.16
  5. Step 5: Solve for x
    x = 81,876.16/288.67
  6. Step 6: Final answer
    x = 283.63

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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.