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Finding the Fourth Proportional to 185.74, 256.31 and 102.84

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Solution

The fourth proportional to 185.74, 256.31 and 102.84 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 256.31 = 102.84 : x
  2. Step 2: Convert to fraction form
    185.74/256.31 = 102.84/x
  3. Step 3: Cross multiply
    185.74x = 256.31 × 102.84
  4. Step 4: Simplify right side
    185.74x = 26,358.92
  5. Step 5: Solve for x
    x = 26,358.92/185.74
  6. Step 6: Final answer
    x = 141.92

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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.