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Finding the Fourth Proportional to 392.85, 538.58 and 385.97

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Solution

The fourth proportional to 392.85, 538.58 and 385.97 is: 529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 538.58 = 385.97 : x
  2. Step 2: Convert to fraction form
    392.85/538.58 = 385.97/x
  3. Step 3: Cross multiply
    392.85x = 538.58 × 385.97
  4. Step 4: Simplify right side
    392.85x = 207,873.99
  5. Step 5: Solve for x
    x = 207,873.99/392.85
  6. Step 6: Final answer
    x = 529.14

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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.