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Finding the Fourth Proportional to 177.73, 245.10 and 136.20

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Solution

The fourth proportional to 177.73, 245.10 and 136.20 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 245.10 = 136.20 : x
  2. Step 2: Convert to fraction form
    177.73/245.10 = 136.20/x
  3. Step 3: Cross multiply
    177.73x = 245.10 × 136.20
  4. Step 4: Simplify right side
    177.73x = 33,382.62
  5. Step 5: Solve for x
    x = 33,382.62/177.73
  6. Step 6: Final answer
    x = 187.83

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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.