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Finding the Fourth Proportional to 185.80, 256.41 and 102.91

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Solution

The fourth proportional to 185.80, 256.41 and 102.91 is: 142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 256.41 = 102.91 : x
  2. Step 2: Convert to fraction form
    185.80/256.41 = 102.91/x
  3. Step 3: Cross multiply
    185.80x = 256.41 × 102.91
  4. Step 4: Simplify right side
    185.80x = 26,388.18
  5. Step 5: Solve for x
    x = 26,388.18/185.80
  6. Step 6: Final answer
    x = 142.02

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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.