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Finding the Fourth Proportional to 274.14, 409.33 and 266.85

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Solution

The fourth proportional to 274.14, 409.33 and 266.85 is: 398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 409.33 = 266.85 : x
  2. Step 2: Convert to fraction form
    274.14/409.33 = 266.85/x
  3. Step 3: Cross multiply
    274.14x = 409.33 × 266.85
  4. Step 4: Simplify right side
    274.14x = 109,230.04
  5. Step 5: Solve for x
    x = 109,230.04/274.14
  6. Step 6: Final answer
    x = 398.45

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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.