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Finding the Fourth Proportional to 186.57, 257.56 and 116.66

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Solution

The fourth proportional to 186.57, 257.56 and 116.66 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.57 : 257.56 = 116.66 : x
  2. Step 2: Convert to fraction form
    186.57/257.56 = 116.66/x
  3. Step 3: Cross multiply
    186.57x = 257.56 × 116.66
  4. Step 4: Simplify right side
    186.57x = 30,047.30
  5. Step 5: Solve for x
    x = 30,047.30/186.57
  6. Step 6: Final answer
    x = 161.05

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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.