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Finding the Fourth Proportional to 185.86, 256.57 and 119.54

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Solution

The fourth proportional to 185.86, 256.57 and 119.54 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.57 = 119.54 : x
  2. Step 2: Convert to fraction form
    185.86/256.57 = 119.54/x
  3. Step 3: Cross multiply
    185.86x = 256.57 × 119.54
  4. Step 4: Simplify right side
    185.86x = 30,670.38
  5. Step 5: Solve for x
    x = 30,670.38/185.86
  6. Step 6: Final answer
    x = 165.02

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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.