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Finding the Fourth Proportional to 267.59, 369.10 and 164.09

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Solution

The fourth proportional to 267.59, 369.10 and 164.09 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.59 : 369.10 = 164.09 : x
  2. Step 2: Convert to fraction form
    267.59/369.10 = 164.09/x
  3. Step 3: Cross multiply
    267.59x = 369.10 × 164.09
  4. Step 4: Simplify right side
    267.59x = 60,565.62
  5. Step 5: Solve for x
    x = 60,565.62/267.59
  6. Step 6: Final answer
    x = 226.34

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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.