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Finding the Fourth Proportional to 194.04, 267.48 and 120.30

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Solution

The fourth proportional to 194.04, 267.48 and 120.30 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 267.48 = 120.30 : x
  2. Step 2: Convert to fraction form
    194.04/267.48 = 120.30/x
  3. Step 3: Cross multiply
    194.04x = 267.48 × 120.30
  4. Step 4: Simplify right side
    194.04x = 32,177.84
  5. Step 5: Solve for x
    x = 32,177.84/194.04
  6. Step 6: Final answer
    x = 165.83

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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.