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Finding the Fourth Proportional to 251.98, 378.20 and 123.82

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Solution

The fourth proportional to 251.98, 378.20 and 123.82 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.98 : 378.20 = 123.82 : x
  2. Step 2: Convert to fraction form
    251.98/378.20 = 123.82/x
  3. Step 3: Cross multiply
    251.98x = 378.20 × 123.82
  4. Step 4: Simplify right side
    251.98x = 46,828.72
  5. Step 5: Solve for x
    x = 46,828.72/251.98
  6. Step 6: Final answer
    x = 185.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.