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Finding the Fourth Proportional to 392.80, 589.62 and 320.52

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Solution

The fourth proportional to 392.80, 589.62 and 320.52 is: 481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 589.62 = 320.52 : x
  2. Step 2: Convert to fraction form
    392.80/589.62 = 320.52/x
  3. Step 3: Cross multiply
    392.80x = 589.62 × 320.52
  4. Step 4: Simplify right side
    392.80x = 188,985.00
  5. Step 5: Solve for x
    x = 188,985.00/392.80
  6. Step 6: Final answer
    x = 481.12

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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.