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Finding the Fourth Proportional to 252.12, 346.86 and 193.80

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Solution

The fourth proportional to 252.12, 346.86 and 193.80 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 346.86 = 193.80 : x
  2. Step 2: Convert to fraction form
    252.12/346.86 = 193.80/x
  3. Step 3: Cross multiply
    252.12x = 346.86 × 193.80
  4. Step 4: Simplify right side
    252.12x = 67,221.47
  5. Step 5: Solve for x
    x = 67,221.47/252.12
  6. Step 6: Final answer
    x = 266.62

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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.