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Finding the Fourth Proportional to 252.67, 348.84 and 197.32

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Solution

The fourth proportional to 252.67, 348.84 and 197.32 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.67 : 348.84 = 197.32 : x
  2. Step 2: Convert to fraction form
    252.67/348.84 = 197.32/x
  3. Step 3: Cross multiply
    252.67x = 348.84 × 197.32
  4. Step 4: Simplify right side
    252.67x = 68,833.11
  5. Step 5: Solve for x
    x = 68,833.11/252.67
  6. Step 6: Final answer
    x = 272.42

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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.