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Finding the Fourth Proportional to 392.57, 544.22 and 371.76

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Solution

The fourth proportional to 392.57, 544.22 and 371.76 is: 515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 544.22 = 371.76 : x
  2. Step 2: Convert to fraction form
    392.57/544.22 = 371.76/x
  3. Step 3: Cross multiply
    392.57x = 544.22 × 371.76
  4. Step 4: Simplify right side
    392.57x = 202,319.23
  5. Step 5: Solve for x
    x = 202,319.23/392.57
  6. Step 6: Final answer
    x = 515.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.