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Finding the Fourth Proportional to 274.52, 409.87 and 245.36

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Solution

The fourth proportional to 274.52, 409.87 and 245.36 is: 366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 409.87 = 245.36 : x
  2. Step 2: Convert to fraction form
    274.52/409.87 = 245.36/x
  3. Step 3: Cross multiply
    274.52x = 409.87 × 245.36
  4. Step 4: Simplify right side
    274.52x = 100,564.48
  5. Step 5: Solve for x
    x = 100,564.48/274.52
  6. Step 6: Final answer
    x = 366.33

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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.