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Finding the Fourth Proportional to 251.31, 346.80 and 140.80

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Solution

The fourth proportional to 251.31, 346.80 and 140.80 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.31 : 346.80 = 140.80 : x
  2. Step 2: Convert to fraction form
    251.31/346.80 = 140.80/x
  3. Step 3: Cross multiply
    251.31x = 346.80 × 140.80
  4. Step 4: Simplify right side
    251.31x = 48,829.44
  5. Step 5: Solve for x
    x = 48,829.44/251.31
  6. Step 6: Final answer
    x = 194.30

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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.