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Finding the Fourth Proportional to 288.97, 431.36 and 267.56

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Solution

The fourth proportional to 288.97, 431.36 and 267.56 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.97 : 431.36 = 267.56 : x
  2. Step 2: Convert to fraction form
    288.97/431.36 = 267.56/x
  3. Step 3: Cross multiply
    288.97x = 431.36 × 267.56
  4. Step 4: Simplify right side
    288.97x = 115,414.68
  5. Step 5: Solve for x
    x = 115,414.68/288.97
  6. Step 6: Final answer
    x = 399.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.