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Finding the Fourth Proportional to 186.81, 279.93 and 109.65

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Solution

The fourth proportional to 186.81, 279.93 and 109.65 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 279.93 = 109.65 : x
  2. Step 2: Convert to fraction form
    186.81/279.93 = 109.65/x
  3. Step 3: Cross multiply
    186.81x = 279.93 × 109.65
  4. Step 4: Simplify right side
    186.81x = 30,694.32
  5. Step 5: Solve for x
    x = 30,694.32/186.81
  6. Step 6: Final answer
    x = 164.31

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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.