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Finding the Fourth Proportional to 275.20, 409.64 and 274

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Solution

The fourth proportional to 275.20, 409.64 and 274 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 409.64 = 274 : x
  2. Step 2: Convert to fraction form
    275.20/409.64 = 274/x
  3. Step 3: Cross multiply
    275.20x = 409.64 × 274
  4. Step 4: Simplify right side
    275.20x = 112,241.36
  5. Step 5: Solve for x
    x = 112,241.36/275.20
  6. Step 6: Final answer
    x = 407.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.