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Finding the Fourth Proportional to 392.81, 586.41 and 331.29

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Solution

The fourth proportional to 392.81, 586.41 and 331.29 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 586.41 = 331.29 : x
  2. Step 2: Convert to fraction form
    392.81/586.41 = 331.29/x
  3. Step 3: Cross multiply
    392.81x = 586.41 × 331.29
  4. Step 4: Simplify right side
    392.81x = 194,271.77
  5. Step 5: Solve for x
    x = 194,271.77/392.81
  6. Step 6: Final answer
    x = 494.58

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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.