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Finding the Fourth Proportional to 251.24, 346.68 and 140.70

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Solution

The fourth proportional to 251.24, 346.68 and 140.70 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.24 : 346.68 = 140.70 : x
  2. Step 2: Convert to fraction form
    251.24/346.68 = 140.70/x
  3. Step 3: Cross multiply
    251.24x = 346.68 × 140.70
  4. Step 4: Simplify right side
    251.24x = 48,777.88
  5. Step 5: Solve for x
    x = 48,777.88/251.24
  6. Step 6: Final answer
    x = 194.15

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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.