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Finding the Fourth Proportional to 392.85, 585.36 and 349.75

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Solution

The fourth proportional to 392.85, 585.36 and 349.75 is: 521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 585.36 = 349.75 : x
  2. Step 2: Convert to fraction form
    392.85/585.36 = 349.75/x
  3. Step 3: Cross multiply
    392.85x = 585.36 × 349.75
  4. Step 4: Simplify right side
    392.85x = 204,730.39
  5. Step 5: Solve for x
    x = 204,730.39/392.85
  6. Step 6: Final answer
    x = 521.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.