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Finding the Fourth Proportional to 392.34, 537.92 and 385.98

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Solution

The fourth proportional to 392.34, 537.92 and 385.98 is: 529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 537.92 = 385.98 : x
  2. Step 2: Convert to fraction form
    392.34/537.92 = 385.98/x
  3. Step 3: Cross multiply
    392.34x = 537.92 × 385.98
  4. Step 4: Simplify right side
    392.34x = 207,624.43
  5. Step 5: Solve for x
    x = 207,624.43/392.34
  6. Step 6: Final answer
    x = 529.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.