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Finding the Fourth Proportional to 186.21, 257.00 and 108.59

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Solution

The fourth proportional to 186.21, 257.00 and 108.59 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 257.00 = 108.59 : x
  2. Step 2: Convert to fraction form
    186.21/257.00 = 108.59/x
  3. Step 3: Cross multiply
    186.21x = 257.00 × 108.59
  4. Step 4: Simplify right side
    186.21x = 27,905.80
  5. Step 5: Solve for x
    x = 27,905.80/186.21
  6. Step 6: Final answer
    x = 149.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.