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Finding the Fourth Proportional to 186.73, 279.91 and 118.38

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Solution

The fourth proportional to 186.73, 279.91 and 118.38 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.73 : 279.91 = 118.38 : x
  2. Step 2: Convert to fraction form
    186.73/279.91 = 118.38/x
  3. Step 3: Cross multiply
    186.73x = 279.91 × 118.38
  4. Step 4: Simplify right side
    186.73x = 33,135.75
  5. Step 5: Solve for x
    x = 33,135.75/186.73
  6. Step 6: Final answer
    x = 177.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.