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Finding the Fourth Proportional to 275.22, 409.29 and 266.57

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Solution

The fourth proportional to 275.22, 409.29 and 266.57 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 409.29 = 266.57 : x
  2. Step 2: Convert to fraction form
    275.22/409.29 = 266.57/x
  3. Step 3: Cross multiply
    275.22x = 409.29 × 266.57
  4. Step 4: Simplify right side
    275.22x = 109,105.46
  5. Step 5: Solve for x
    x = 109,105.46/275.22
  6. Step 6: Final answer
    x = 396.43

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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.