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Finding the Fourth Proportional to 288.27, 431.48 and 205.97

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Solution

The fourth proportional to 288.27, 431.48 and 205.97 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.27 : 431.48 = 205.97 : x
  2. Step 2: Convert to fraction form
    288.27/431.48 = 205.97/x
  3. Step 3: Cross multiply
    288.27x = 431.48 × 205.97
  4. Step 4: Simplify right side
    288.27x = 88,868.75
  5. Step 5: Solve for x
    x = 88,868.75/288.27
  6. Step 6: Final answer
    x = 308.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.