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Finding the Fourth Proportional to 288.58, 431.61 and 267.81

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Solution

The fourth proportional to 288.58, 431.61 and 267.81 is: 400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.58 : 431.61 = 267.81 : x
  2. Step 2: Convert to fraction form
    288.58/431.61 = 267.81/x
  3. Step 3: Cross multiply
    288.58x = 431.61 × 267.81
  4. Step 4: Simplify right side
    288.58x = 115,589.47
  5. Step 5: Solve for x
    x = 115,589.47/288.58
  6. Step 6: Final answer
    x = 400.55

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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.