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Finding the Fourth Proportional to 186.79, 280.24 and 138.67

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Solution

The fourth proportional to 186.79, 280.24 and 138.67 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 280.24 = 138.67 : x
  2. Step 2: Convert to fraction form
    186.79/280.24 = 138.67/x
  3. Step 3: Cross multiply
    186.79x = 280.24 × 138.67
  4. Step 4: Simplify right side
    186.79x = 38,860.88
  5. Step 5: Solve for x
    x = 38,860.88/186.79
  6. Step 6: Final answer
    x = 208.05

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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.