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Finding the Fourth Proportional to 262.68, 362.80 and 197.48

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Solution

The fourth proportional to 262.68, 362.80 and 197.48 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 362.80 = 197.48 : x
  2. Step 2: Convert to fraction form
    262.68/362.80 = 197.48/x
  3. Step 3: Cross multiply
    262.68x = 362.80 × 197.48
  4. Step 4: Simplify right side
    262.68x = 71,645.74
  5. Step 5: Solve for x
    x = 71,645.74/262.68
  6. Step 6: Final answer
    x = 272.75

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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.