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Finding the Fourth Proportional to 194.02, 267.67 and 127.60

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Solution

The fourth proportional to 194.02, 267.67 and 127.60 is: 176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 267.67 = 127.60 : x
  2. Step 2: Convert to fraction form
    194.02/267.67 = 127.60/x
  3. Step 3: Cross multiply
    194.02x = 267.67 × 127.60
  4. Step 4: Simplify right side
    194.02x = 34,154.69
  5. Step 5: Solve for x
    x = 34,154.69/194.02
  6. Step 6: Final answer
    x = 176.04

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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.