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Finding the Fourth Proportional to 372.71, 513.73 and 274.43

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Solution

The fourth proportional to 372.71, 513.73 and 274.43 is: 378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.71 : 513.73 = 274.43 : x
  2. Step 2: Convert to fraction form
    372.71/513.73 = 274.43/x
  3. Step 3: Cross multiply
    372.71x = 513.73 × 274.43
  4. Step 4: Simplify right side
    372.71x = 140,982.92
  5. Step 5: Solve for x
    x = 140,982.92/372.71
  6. Step 6: Final answer
    x = 378.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.