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Finding the Fourth Proportional to 252.69, 348.90 and 197.34

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Solution

The fourth proportional to 252.69, 348.90 and 197.34 is: 272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 348.90 = 197.34 : x
  2. Step 2: Convert to fraction form
    252.69/348.90 = 197.34/x
  3. Step 3: Cross multiply
    252.69x = 348.90 × 197.34
  4. Step 4: Simplify right side
    252.69x = 68,851.93
  5. Step 5: Solve for x
    x = 68,851.93/252.69
  6. Step 6: Final answer
    x = 272.48

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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.