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Finding the Fourth Proportional to 186.29, 257.14 and 131.21

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Solution

The fourth proportional to 186.29, 257.14 and 131.21 is: 181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.29 : 257.14 = 131.21 : x
  2. Step 2: Convert to fraction form
    186.29/257.14 = 131.21/x
  3. Step 3: Cross multiply
    186.29x = 257.14 × 131.21
  4. Step 4: Simplify right side
    186.29x = 33,739.34
  5. Step 5: Solve for x
    x = 33,739.34/186.29
  6. Step 6: Final answer
    x = 181.11

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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.