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Finding the Fourth Proportional to 186.89, 279.79 and 156.11

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Solution

The fourth proportional to 186.89, 279.79 and 156.11 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.89 : 279.79 = 156.11 : x
  2. Step 2: Convert to fraction form
    186.89/279.79 = 156.11/x
  3. Step 3: Cross multiply
    186.89x = 279.79 × 156.11
  4. Step 4: Simplify right side
    186.89x = 43,676.23
  5. Step 5: Solve for x
    x = 43,676.23/186.89
  6. Step 6: Final answer
    x = 233.71

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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.