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Finding the Fourth Proportional to 186.00, 256.50 and 171.29

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Solution

The fourth proportional to 186.00, 256.50 and 171.29 is: 236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.00 : 256.50 = 171.29 : x
  2. Step 2: Convert to fraction form
    186.00/256.50 = 171.29/x
  3. Step 3: Cross multiply
    186.00x = 256.50 × 171.29
  4. Step 4: Simplify right side
    186.00x = 43,935.08
  5. Step 5: Solve for x
    x = 43,935.08/186.00
  6. Step 6: Final answer
    x = 236.21

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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.