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Finding the Fourth Proportional to 267.36, 369.09 and 189.06

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Solution

The fourth proportional to 267.36, 369.09 and 189.06 is: 261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.36 : 369.09 = 189.06 : x
  2. Step 2: Convert to fraction form
    267.36/369.09 = 189.06/x
  3. Step 3: Cross multiply
    267.36x = 369.09 × 189.06
  4. Step 4: Simplify right side
    267.36x = 69,780.16
  5. Step 5: Solve for x
    x = 69,780.16/267.36
  6. Step 6: Final answer
    x = 261.00

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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.