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Finding the Fourth Proportional to 274.38, 409.59 and 264.12

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Solution

The fourth proportional to 274.38, 409.59 and 264.12 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 409.59 = 264.12 : x
  2. Step 2: Convert to fraction form
    274.38/409.59 = 264.12/x
  3. Step 3: Cross multiply
    274.38x = 409.59 × 264.12
  4. Step 4: Simplify right side
    274.38x = 108,180.91
  5. Step 5: Solve for x
    x = 108,180.91/274.38
  6. Step 6: Final answer
    x = 394.27

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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.