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Finding the Fourth Proportional to 392.85, 586.80 and 331.34

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Solution

The fourth proportional to 392.85, 586.80 and 331.34 is: 494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.85 : 586.80 = 331.34 : x
  2. Step 2: Convert to fraction form
    392.85/586.80 = 331.34/x
  3. Step 3: Cross multiply
    392.85x = 586.80 × 331.34
  4. Step 4: Simplify right side
    392.85x = 194,427.38
  5. Step 5: Solve for x
    x = 194,427.38/392.85
  6. Step 6: Final answer
    x = 494.92

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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.