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Finding the Fourth Proportional to 392.06, 543.52 and 371.26

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Solution

The fourth proportional to 392.06, 543.52 and 371.26 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 543.52 = 371.26 : x
  2. Step 2: Convert to fraction form
    392.06/543.52 = 371.26/x
  3. Step 3: Cross multiply
    392.06x = 543.52 × 371.26
  4. Step 4: Simplify right side
    392.06x = 201,787.24
  5. Step 5: Solve for x
    x = 201,787.24/392.06
  6. Step 6: Final answer
    x = 514.68

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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.