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Finding the Fourth Proportional to 186.11, 256.91 and 130.85

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Solution

The fourth proportional to 186.11, 256.91 and 130.85 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.11 : 256.91 = 130.85 : x
  2. Step 2: Convert to fraction form
    186.11/256.91 = 130.85/x
  3. Step 3: Cross multiply
    186.11x = 256.91 × 130.85
  4. Step 4: Simplify right side
    186.11x = 33,614.73
  5. Step 5: Solve for x
    x = 33,614.73/186.11
  6. Step 6: Final answer
    x = 180.62

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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.