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Finding the Fourth Proportional to 186.54, 257.45 and 120.15

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Solution

The fourth proportional to 186.54, 257.45 and 120.15 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 257.45 = 120.15 : x
  2. Step 2: Convert to fraction form
    186.54/257.45 = 120.15/x
  3. Step 3: Cross multiply
    186.54x = 257.45 × 120.15
  4. Step 4: Simplify right side
    186.54x = 30,932.02
  5. Step 5: Solve for x
    x = 30,932.02/186.54
  6. Step 6: Final answer
    x = 165.82

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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.