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Finding the Fourth Proportional to 194.61, 270.43 and 192.63

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Solution

The fourth proportional to 194.61, 270.43 and 192.63 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 270.43 = 192.63 : x
  2. Step 2: Convert to fraction form
    194.61/270.43 = 192.63/x
  3. Step 3: Cross multiply
    194.61x = 270.43 × 192.63
  4. Step 4: Simplify right side
    194.61x = 52,092.93
  5. Step 5: Solve for x
    x = 52,092.93/194.61
  6. Step 6: Final answer
    x = 267.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.