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Finding the Fourth Proportional to 267.70, 399.86 and 213.43

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Solution

The fourth proportional to 267.70, 399.86 and 213.43 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.70 : 399.86 = 213.43 : x
  2. Step 2: Convert to fraction form
    267.70/399.86 = 213.43/x
  3. Step 3: Cross multiply
    267.70x = 399.86 × 213.43
  4. Step 4: Simplify right side
    267.70x = 85,342.12
  5. Step 5: Solve for x
    x = 85,342.12/267.70
  6. Step 6: Final answer
    x = 318.80

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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.