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Finding the Fourth Proportional to 186.64, 258.94 and 179.12

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Solution

The fourth proportional to 186.64, 258.94 and 179.12 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 258.94 = 179.12 : x
  2. Step 2: Convert to fraction form
    186.64/258.94 = 179.12/x
  3. Step 3: Cross multiply
    186.64x = 258.94 × 179.12
  4. Step 4: Simplify right side
    186.64x = 46,381.33
  5. Step 5: Solve for x
    x = 46,381.33/186.64
  6. Step 6: Final answer
    x = 248.51

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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.