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Finding the Fourth Proportional to 186.63, 257.45 and 119.21

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Solution

The fourth proportional to 186.63, 257.45 and 119.21 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 257.45 = 119.21 : x
  2. Step 2: Convert to fraction form
    186.63/257.45 = 119.21/x
  3. Step 3: Cross multiply
    186.63x = 257.45 × 119.21
  4. Step 4: Simplify right side
    186.63x = 30,688.73
  5. Step 5: Solve for x
    x = 30,688.73/186.63
  6. Step 6: Final answer
    x = 164.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.