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Finding the Fourth Proportional to 251.30, 346.90 and 195.99

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Solution

The fourth proportional to 251.30, 346.90 and 195.99 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 346.90 = 195.99 : x
  2. Step 2: Convert to fraction form
    251.30/346.90 = 195.99/x
  3. Step 3: Cross multiply
    251.30x = 346.90 × 195.99
  4. Step 4: Simplify right side
    251.30x = 67,988.93
  5. Step 5: Solve for x
    x = 67,988.93/251.30
  6. Step 6: Final answer
    x = 270.55

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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.