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Finding the Fourth Proportional to 275.87, 380.73 and 202.21

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Solution

The fourth proportional to 275.87, 380.73 and 202.21 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.87 : 380.73 = 202.21 : x
  2. Step 2: Convert to fraction form
    275.87/380.73 = 202.21/x
  3. Step 3: Cross multiply
    275.87x = 380.73 × 202.21
  4. Step 4: Simplify right side
    275.87x = 76,989.36
  5. Step 5: Solve for x
    x = 76,989.36/275.87
  6. Step 6: Final answer
    x = 279.08

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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.