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Finding the Fourth Proportional to 251.49, 347.02 and 140.95

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Solution

The fourth proportional to 251.49, 347.02 and 140.95 is: 194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.49 : 347.02 = 140.95 : x
  2. Step 2: Convert to fraction form
    251.49/347.02 = 140.95/x
  3. Step 3: Cross multiply
    251.49x = 347.02 × 140.95
  4. Step 4: Simplify right side
    251.49x = 48,912.47
  5. Step 5: Solve for x
    x = 48,912.47/251.49
  6. Step 6: Final answer
    x = 194.49

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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.