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Finding the Fourth Proportional to 267.50, 369.34 and 189.74

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Solution

The fourth proportional to 267.50, 369.34 and 189.74 is: 261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 369.34 = 189.74 : x
  2. Step 2: Convert to fraction form
    267.50/369.34 = 189.74/x
  3. Step 3: Cross multiply
    267.50x = 369.34 × 189.74
  4. Step 4: Simplify right side
    267.50x = 70,078.57
  5. Step 5: Solve for x
    x = 70,078.57/267.50
  6. Step 6: Final answer
    x = 261.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.