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Finding the Fourth Proportional to 252.36, 346.77 and 205.62

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Solution

The fourth proportional to 252.36, 346.77 and 205.62 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 346.77 = 205.62 : x
  2. Step 2: Convert to fraction form
    252.36/346.77 = 205.62/x
  3. Step 3: Cross multiply
    252.36x = 346.77 × 205.62
  4. Step 4: Simplify right side
    252.36x = 71,302.85
  5. Step 5: Solve for x
    x = 71,302.85/252.36
  6. Step 6: Final answer
    x = 282.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.