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Finding the Fourth Proportional to 252.09, 348.03 and 208.80

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Solution

The fourth proportional to 252.09, 348.03 and 208.80 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 348.03 = 208.80 : x
  2. Step 2: Convert to fraction form
    252.09/348.03 = 208.80/x
  3. Step 3: Cross multiply
    252.09x = 348.03 × 208.80
  4. Step 4: Simplify right side
    252.09x = 72,668.66
  5. Step 5: Solve for x
    x = 72,668.66/252.09
  6. Step 6: Final answer
    x = 288.26

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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.