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Finding the Fourth Proportional to 186.58, 256.95 and 161.68

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Solution

The fourth proportional to 186.58, 256.95 and 161.68 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 256.95 = 161.68 : x
  2. Step 2: Convert to fraction form
    186.58/256.95 = 161.68/x
  3. Step 3: Cross multiply
    186.58x = 256.95 × 161.68
  4. Step 4: Simplify right side
    186.58x = 41,542.39
  5. Step 5: Solve for x
    x = 41,542.39/186.58
  6. Step 6: Final answer
    x = 222.65

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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.