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Finding the Fourth Proportional to 267.57, 367.76 and 236.30

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Solution

The fourth proportional to 267.57, 367.76 and 236.30 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 367.76 = 236.30 : x
  2. Step 2: Convert to fraction form
    267.57/367.76 = 236.30/x
  3. Step 3: Cross multiply
    267.57x = 367.76 × 236.30
  4. Step 4: Simplify right side
    267.57x = 86,901.69
  5. Step 5: Solve for x
    x = 86,901.69/267.57
  6. Step 6: Final answer
    x = 324.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.