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Finding the Fourth Proportional to 392.80, 588.36 and 320.32

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Solution

The fourth proportional to 392.80, 588.36 and 320.32 is: 479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 588.36 = 320.32 : x
  2. Step 2: Convert to fraction form
    392.80/588.36 = 320.32/x
  3. Step 3: Cross multiply
    392.80x = 588.36 × 320.32
  4. Step 4: Simplify right side
    392.80x = 188,463.48
  5. Step 5: Solve for x
    x = 188,463.48/392.80
  6. Step 6: Final answer
    x = 479.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.