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Finding the Fourth Proportional to 186.05, 256.78 and 116.14

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Solution

The fourth proportional to 186.05, 256.78 and 116.14 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 256.78 = 116.14 : x
  2. Step 2: Convert to fraction form
    186.05/256.78 = 116.14/x
  3. Step 3: Cross multiply
    186.05x = 256.78 × 116.14
  4. Step 4: Simplify right side
    186.05x = 29,822.43
  5. Step 5: Solve for x
    x = 29,822.43/186.05
  6. Step 6: Final answer
    x = 160.29

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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.