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Finding the Fourth Proportional to 194.34, 267.05 and 155.46

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Solution

The fourth proportional to 194.34, 267.05 and 155.46 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 267.05 = 155.46 : x
  2. Step 2: Convert to fraction form
    194.34/267.05 = 155.46/x
  3. Step 3: Cross multiply
    194.34x = 267.05 × 155.46
  4. Step 4: Simplify right side
    194.34x = 41,515.59
  5. Step 5: Solve for x
    x = 41,515.59/194.34
  6. Step 6: Final answer
    x = 213.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.