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Finding the Fourth Proportional to 392.04, 539.38 and 298.24

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Solution

The fourth proportional to 392.04, 539.38 and 298.24 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.04 : 539.38 = 298.24 : x
  2. Step 2: Convert to fraction form
    392.04/539.38 = 298.24/x
  3. Step 3: Cross multiply
    392.04x = 539.38 × 298.24
  4. Step 4: Simplify right side
    392.04x = 160,864.69
  5. Step 5: Solve for x
    x = 160,864.69/392.04
  6. Step 6: Final answer
    x = 410.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.