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Finding the Fourth Proportional to 275.80, 380.31 and 197.10

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Solution

The fourth proportional to 275.80, 380.31 and 197.10 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.80 : 380.31 = 197.10 : x
  2. Step 2: Convert to fraction form
    275.80/380.31 = 197.10/x
  3. Step 3: Cross multiply
    275.80x = 380.31 × 197.10
  4. Step 4: Simplify right side
    275.80x = 74,959.10
  5. Step 5: Solve for x
    x = 74,959.10/275.80
  6. Step 6: Final answer
    x = 271.79

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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.