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Finding the Fourth Proportional to 186.13, 256.80 and 120.65

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Solution

The fourth proportional to 186.13, 256.80 and 120.65 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 256.80 = 120.65 : x
  2. Step 2: Convert to fraction form
    186.13/256.80 = 120.65/x
  3. Step 3: Cross multiply
    186.13x = 256.80 × 120.65
  4. Step 4: Simplify right side
    186.13x = 30,984.01
  5. Step 5: Solve for x
    x = 30,984.01/186.13
  6. Step 6: Final answer
    x = 166.47

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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.