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Finding the Fourth Proportional to 186.41, 256.99 and 128.09

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Solution

The fourth proportional to 186.41, 256.99 and 128.09 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.41 : 256.99 = 128.09 : x
  2. Step 2: Convert to fraction form
    186.41/256.99 = 128.09/x
  3. Step 3: Cross multiply
    186.41x = 256.99 × 128.09
  4. Step 4: Simplify right side
    186.41x = 32,917.85
  5. Step 5: Solve for x
    x = 32,917.85/186.41
  6. Step 6: Final answer
    x = 176.59

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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.