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Finding the Fourth Proportional to 392.28, 586.19 and 320.20

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Solution

The fourth proportional to 392.28, 586.19 and 320.20 is: 478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 586.19 = 320.20 : x
  2. Step 2: Convert to fraction form
    392.28/586.19 = 320.20/x
  3. Step 3: Cross multiply
    392.28x = 586.19 × 320.20
  4. Step 4: Simplify right side
    392.28x = 187,698.04
  5. Step 5: Solve for x
    x = 187,698.04/392.28
  6. Step 6: Final answer
    x = 478.48

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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.