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Finding the Fourth Proportional to 267.14, 368.34 and 189.38

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Solution

The fourth proportional to 267.14, 368.34 and 189.38 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 368.34 = 189.38 : x
  2. Step 2: Convert to fraction form
    267.14/368.34 = 189.38/x
  3. Step 3: Cross multiply
    267.14x = 368.34 × 189.38
  4. Step 4: Simplify right side
    267.14x = 69,756.23
  5. Step 5: Solve for x
    x = 69,756.23/267.14
  6. Step 6: Final answer
    x = 261.12

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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.