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Finding the Fourth Proportional to 179.15, 267.19 and 164.57

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Solution

The fourth proportional to 179.15, 267.19 and 164.57 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.15 : 267.19 = 164.57 : x
  2. Step 2: Convert to fraction form
    179.15/267.19 = 164.57/x
  3. Step 3: Cross multiply
    179.15x = 267.19 × 164.57
  4. Step 4: Simplify right side
    179.15x = 43,971.46
  5. Step 5: Solve for x
    x = 43,971.46/179.15
  6. Step 6: Final answer
    x = 245.44

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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.