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Finding the Fourth Proportional to 186.89, 280.26 and 77.21

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Solution

The fourth proportional to 186.89, 280.26 and 77.21 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.89 : 280.26 = 77.21 : x
  2. Step 2: Convert to fraction form
    186.89/280.26 = 77.21/x
  3. Step 3: Cross multiply
    186.89x = 280.26 × 77.21
  4. Step 4: Simplify right side
    186.89x = 21,637.47
  5. Step 5: Solve for x
    x = 21,637.47/186.89
  6. Step 6: Final answer
    x = 115.78

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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.