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Finding the Fourth Proportional to 251.78, 377.80 and 105.50

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Solution

The fourth proportional to 251.78, 377.80 and 105.50 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 377.80 = 105.50 : x
  2. Step 2: Convert to fraction form
    251.78/377.80 = 105.50/x
  3. Step 3: Cross multiply
    251.78x = 377.80 × 105.50
  4. Step 4: Simplify right side
    251.78x = 39,858.58
  5. Step 5: Solve for x
    x = 39,858.58/251.78
  6. Step 6: Final answer
    x = 158.31

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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.