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Finding the Fourth Proportional to 177.73, 245.39 and 138.30

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Solution

The fourth proportional to 177.73, 245.39 and 138.30 is: 190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 245.39 = 138.30 : x
  2. Step 2: Convert to fraction form
    177.73/245.39 = 138.30/x
  3. Step 3: Cross multiply
    177.73x = 245.39 × 138.30
  4. Step 4: Simplify right side
    177.73x = 33,937.44
  5. Step 5: Solve for x
    x = 33,937.44/177.73
  6. Step 6: Final answer
    x = 190.95

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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.