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Finding the Fourth Proportional to 186.83, 257.78 and 108.15

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Solution

The fourth proportional to 186.83, 257.78 and 108.15 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.83 : 257.78 = 108.15 : x
  2. Step 2: Convert to fraction form
    186.83/257.78 = 108.15/x
  3. Step 3: Cross multiply
    186.83x = 257.78 × 108.15
  4. Step 4: Simplify right side
    186.83x = 27,878.21
  5. Step 5: Solve for x
    x = 27,878.21/186.83
  6. Step 6: Final answer
    x = 149.22

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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.