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Finding the Fourth Proportional to 186.26, 256.99 and 120.75

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Solution

The fourth proportional to 186.26, 256.99 and 120.75 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 256.99 = 120.75 : x
  2. Step 2: Convert to fraction form
    186.26/256.99 = 120.75/x
  3. Step 3: Cross multiply
    186.26x = 256.99 × 120.75
  4. Step 4: Simplify right side
    186.26x = 31,030.28
  5. Step 5: Solve for x
    x = 31,030.28/186.26
  6. Step 6: Final answer
    x = 166.60

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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.