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Finding the Fourth Proportional to 275.80, 380.46 and 165.25

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Solution

The fourth proportional to 275.80, 380.46 and 165.25 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.80 : 380.46 = 165.25 : x
  2. Step 2: Convert to fraction form
    275.80/380.46 = 165.25/x
  3. Step 3: Cross multiply
    275.80x = 380.46 × 165.25
  4. Step 4: Simplify right side
    275.80x = 62,869.11
  5. Step 5: Solve for x
    x = 62,869.11/275.80
  6. Step 6: Final answer
    x = 227.96

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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.