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Finding the Fourth Proportional to 186.27, 256.95 and 120.81

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Solution

The fourth proportional to 186.27, 256.95 and 120.81 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.27 : 256.95 = 120.81 : x
  2. Step 2: Convert to fraction form
    186.27/256.95 = 120.81/x
  3. Step 3: Cross multiply
    186.27x = 256.95 × 120.81
  4. Step 4: Simplify right side
    186.27x = 31,042.13
  5. Step 5: Solve for x
    x = 31,042.13/186.27
  6. Step 6: Final answer
    x = 166.65

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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.