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Finding the Fourth Proportional to 274.14, 409.25 and 264.52

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Solution

The fourth proportional to 274.14, 409.25 and 264.52 is: 394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 409.25 = 264.52 : x
  2. Step 2: Convert to fraction form
    274.14/409.25 = 264.52/x
  3. Step 3: Cross multiply
    274.14x = 409.25 × 264.52
  4. Step 4: Simplify right side
    274.14x = 108,256.58
  5. Step 5: Solve for x
    x = 108,256.58/274.14
  6. Step 6: Final answer
    x = 394.90

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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.