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Finding the Fourth Proportional to 252.39, 347.96 and 193.41

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Solution

The fourth proportional to 252.39, 347.96 and 193.41 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.39 : 347.96 = 193.41 : x
  2. Step 2: Convert to fraction form
    252.39/347.96 = 193.41/x
  3. Step 3: Cross multiply
    252.39x = 347.96 × 193.41
  4. Step 4: Simplify right side
    252.39x = 67,297.98
  5. Step 5: Solve for x
    x = 67,297.98/252.39
  6. Step 6: Final answer
    x = 266.64

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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.