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Finding the Fourth Proportional to 186.78, 257.66 and 116.81

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Solution

The fourth proportional to 186.78, 257.66 and 116.81 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.66 = 116.81 : x
  2. Step 2: Convert to fraction form
    186.78/257.66 = 116.81/x
  3. Step 3: Cross multiply
    186.78x = 257.66 × 116.81
  4. Step 4: Simplify right side
    186.78x = 30,097.26
  5. Step 5: Solve for x
    x = 30,097.26/186.78
  6. Step 6: Final answer
    x = 161.14

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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.