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Finding the Fourth Proportional to 267.09, 400.81 and 113.02

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Solution

The fourth proportional to 267.09, 400.81 and 113.02 is: 169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.09 : 400.81 = 113.02 : x
  2. Step 2: Convert to fraction form
    267.09/400.81 = 113.02/x
  3. Step 3: Cross multiply
    267.09x = 400.81 × 113.02
  4. Step 4: Simplify right side
    267.09x = 45,299.98
  5. Step 5: Solve for x
    x = 45,299.98/267.09
  6. Step 6: Final answer
    x = 169.60

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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.