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Finding the Fourth Proportional to 186.40, 258.92 and 180.96

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Solution

The fourth proportional to 186.40, 258.92 and 180.96 is: 251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.40 : 258.92 = 180.96 : x
  2. Step 2: Convert to fraction form
    186.40/258.92 = 180.96/x
  3. Step 3: Cross multiply
    186.40x = 258.92 × 180.96
  4. Step 4: Simplify right side
    186.40x = 46,854.16
  5. Step 5: Solve for x
    x = 46,854.16/186.40
  6. Step 6: Final answer
    x = 251.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.