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Finding the Fourth Proportional to 267.45, 399.48 and 213.18

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Solution

The fourth proportional to 267.45, 399.48 and 213.18 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 399.48 = 213.18 : x
  2. Step 2: Convert to fraction form
    267.45/399.48 = 213.18/x
  3. Step 3: Cross multiply
    267.45x = 399.48 × 213.18
  4. Step 4: Simplify right side
    267.45x = 85,161.15
  5. Step 5: Solve for x
    x = 85,161.15/267.45
  6. Step 6: Final answer
    x = 318.42

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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.