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Finding the Fourth Proportional to 186.31, 257.13 and 116.38

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Solution

The fourth proportional to 186.31, 257.13 and 116.38 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 257.13 = 116.38 : x
  2. Step 2: Convert to fraction form
    186.31/257.13 = 116.38/x
  3. Step 3: Cross multiply
    186.31x = 257.13 × 116.38
  4. Step 4: Simplify right side
    186.31x = 29,924.79
  5. Step 5: Solve for x
    x = 29,924.79/186.31
  6. Step 6: Final answer
    x = 160.62

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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.