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Finding the Fourth Proportional to 186.79, 280.32 and 138.82

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Solution

The fourth proportional to 186.79, 280.32 and 138.82 is: 208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 280.32 = 138.82 : x
  2. Step 2: Convert to fraction form
    186.79/280.32 = 138.82/x
  3. Step 3: Cross multiply
    186.79x = 280.32 × 138.82
  4. Step 4: Simplify right side
    186.79x = 38,914.02
  5. Step 5: Solve for x
    x = 38,914.02/186.79
  6. Step 6: Final answer
    x = 208.33

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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.