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Finding the Fourth Proportional to 186.39, 280.05 and 178.65

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Solution

The fourth proportional to 186.39, 280.05 and 178.65 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 280.05 = 178.65 : x
  2. Step 2: Convert to fraction form
    186.39/280.05 = 178.65/x
  3. Step 3: Cross multiply
    186.39x = 280.05 × 178.65
  4. Step 4: Simplify right side
    186.39x = 50,030.93
  5. Step 5: Solve for x
    x = 50,030.93/186.39
  6. Step 6: Final answer
    x = 268.42

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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.