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Finding the Fourth Proportional to 186.80, 257.08 and 160.88

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Solution

The fourth proportional to 186.80, 257.08 and 160.88 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 257.08 = 160.88 : x
  2. Step 2: Convert to fraction form
    186.80/257.08 = 160.88/x
  3. Step 3: Cross multiply
    186.80x = 257.08 × 160.88
  4. Step 4: Simplify right side
    186.80x = 41,359.03
  5. Step 5: Solve for x
    x = 41,359.03/186.80
  6. Step 6: Final answer
    x = 221.41

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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.