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Finding the Fourth Proportional to 275.18, 379.23 and 197.42

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Solution

The fourth proportional to 275.18, 379.23 and 197.42 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.18 : 379.23 = 197.42 : x
  2. Step 2: Convert to fraction form
    275.18/379.23 = 197.42/x
  3. Step 3: Cross multiply
    275.18x = 379.23 × 197.42
  4. Step 4: Simplify right side
    275.18x = 74,867.59
  5. Step 5: Solve for x
    x = 74,867.59/275.18
  6. Step 6: Final answer
    x = 272.07

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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.