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Finding the Fourth Proportional to 186.67, 257.38 and 165.88

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Solution

The fourth proportional to 186.67, 257.38 and 165.88 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.67 : 257.38 = 165.88 : x
  2. Step 2: Convert to fraction form
    186.67/257.38 = 165.88/x
  3. Step 3: Cross multiply
    186.67x = 257.38 × 165.88
  4. Step 4: Simplify right side
    186.67x = 42,694.10
  5. Step 5: Solve for x
    x = 42,694.10/186.67
  6. Step 6: Final answer
    x = 228.71

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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.