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Finding the Fourth Proportional to 186.61, 257.65 and 116.68

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Solution

The fourth proportional to 186.61, 257.65 and 116.68 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.61 : 257.65 = 116.68 : x
  2. Step 2: Convert to fraction form
    186.61/257.65 = 116.68/x
  3. Step 3: Cross multiply
    186.61x = 257.65 × 116.68
  4. Step 4: Simplify right side
    186.61x = 30,062.60
  5. Step 5: Solve for x
    x = 30,062.60/186.61
  6. Step 6: Final answer
    x = 161.10

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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.