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Finding the Fourth Proportional to 251.38, 346.30 and 206.83

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Solution

The fourth proportional to 251.38, 346.30 and 206.83 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.38 : 346.30 = 206.83 : x
  2. Step 2: Convert to fraction form
    251.38/346.30 = 206.83/x
  3. Step 3: Cross multiply
    251.38x = 346.30 × 206.83
  4. Step 4: Simplify right side
    251.38x = 71,625.23
  5. Step 5: Solve for x
    x = 71,625.23/251.38
  6. Step 6: Final answer
    x = 284.93

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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.