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Finding the Fourth Proportional to 179.21, 267.70 and 164.09

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Solution

The fourth proportional to 179.21, 267.70 and 164.09 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.21 : 267.70 = 164.09 : x
  2. Step 2: Convert to fraction form
    179.21/267.70 = 164.09/x
  3. Step 3: Cross multiply
    179.21x = 267.70 × 164.09
  4. Step 4: Simplify right side
    179.21x = 43,926.89
  5. Step 5: Solve for x
    x = 43,926.89/179.21
  6. Step 6: Final answer
    x = 245.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.