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Finding the Fourth Proportional to 267.44, 403.37 and 231.80

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Solution

The fourth proportional to 267.44, 403.37 and 231.80 is: 349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 403.37 = 231.80 : x
  2. Step 2: Convert to fraction form
    267.44/403.37 = 231.80/x
  3. Step 3: Cross multiply
    267.44x = 403.37 × 231.80
  4. Step 4: Simplify right side
    267.44x = 93,501.17
  5. Step 5: Solve for x
    x = 93,501.17/267.44
  6. Step 6: Final answer
    x = 349.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.