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Finding the Fourth Proportional to 251.09, 346.46 and 140.57

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Solution

The fourth proportional to 251.09, 346.46 and 140.57 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.09 : 346.46 = 140.57 : x
  2. Step 2: Convert to fraction form
    251.09/346.46 = 140.57/x
  3. Step 3: Cross multiply
    251.09x = 346.46 × 140.57
  4. Step 4: Simplify right side
    251.09x = 48,699.45
  5. Step 5: Solve for x
    x = 48,699.45/251.09
  6. Step 6: Final answer
    x = 193.96

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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.