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Finding the Fourth Proportional to 251.63, 379.17 and 206.98

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Solution

The fourth proportional to 251.63, 379.17 and 206.98 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 379.17 = 206.98 : x
  2. Step 2: Convert to fraction form
    251.63/379.17 = 206.98/x
  3. Step 3: Cross multiply
    251.63x = 379.17 × 206.98
  4. Step 4: Simplify right side
    251.63x = 78,480.43
  5. Step 5: Solve for x
    x = 78,480.43/251.63
  6. Step 6: Final answer
    x = 311.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.