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Finding the Fourth Proportional to 186.34, 257.14 and 169.94

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Solution

The fourth proportional to 186.34, 257.14 and 169.94 is: 234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 257.14 = 169.94 : x
  2. Step 2: Convert to fraction form
    186.34/257.14 = 169.94/x
  3. Step 3: Cross multiply
    186.34x = 257.14 × 169.94
  4. Step 4: Simplify right side
    186.34x = 43,698.37
  5. Step 5: Solve for x
    x = 43,698.37/186.34
  6. Step 6: Final answer
    x = 234.51

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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.