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Finding the Fourth Proportional to 194.02, 267.78 and 116.41

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Solution

The fourth proportional to 194.02, 267.78 and 116.41 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 267.78 = 116.41 : x
  2. Step 2: Convert to fraction form
    194.02/267.78 = 116.41/x
  3. Step 3: Cross multiply
    194.02x = 267.78 × 116.41
  4. Step 4: Simplify right side
    194.02x = 31,172.27
  5. Step 5: Solve for x
    x = 31,172.27/194.02
  6. Step 6: Final answer
    x = 160.67

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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.