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Finding the Fourth Proportional to 186.23, 257.00 and 120.86

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Solution

The fourth proportional to 186.23, 257.00 and 120.86 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.23 : 257.00 = 120.86 : x
  2. Step 2: Convert to fraction form
    186.23/257.00 = 120.86/x
  3. Step 3: Cross multiply
    186.23x = 257.00 × 120.86
  4. Step 4: Simplify right side
    186.23x = 31,059.13
  5. Step 5: Solve for x
    x = 31,059.13/186.23
  6. Step 6: Final answer
    x = 166.78

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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.