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Finding the Fourth Proportional to 186.89, 257.90 and 108.20

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Solution

The fourth proportional to 186.89, 257.90 and 108.20 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.89 : 257.90 = 108.20 : x
  2. Step 2: Convert to fraction form
    186.89/257.90 = 108.20/x
  3. Step 3: Cross multiply
    186.89x = 257.90 × 108.20
  4. Step 4: Simplify right side
    186.89x = 27,904.53
  5. Step 5: Solve for x
    x = 27,904.53/186.89
  6. Step 6: Final answer
    x = 149.31

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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.