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Finding the Fourth Proportional to 194.12, 267.80 and 164.72

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Solution

The fourth proportional to 194.12, 267.80 and 164.72 is: 227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 267.80 = 164.72 : x
  2. Step 2: Convert to fraction form
    194.12/267.80 = 164.72/x
  3. Step 3: Cross multiply
    194.12x = 267.80 × 164.72
  4. Step 4: Simplify right side
    194.12x = 44,112.02
  5. Step 5: Solve for x
    x = 44,112.02/194.12
  6. Step 6: Final answer
    x = 227.24

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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.