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Finding the Fourth Proportional to 392.20, 586.04 and 342.80

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Solution

The fourth proportional to 392.20, 586.04 and 342.80 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.20 : 586.04 = 342.80 : x
  2. Step 2: Convert to fraction form
    392.20/586.04 = 342.80/x
  3. Step 3: Cross multiply
    392.20x = 586.04 × 342.80
  4. Step 4: Simplify right side
    392.20x = 200,894.51
  5. Step 5: Solve for x
    x = 200,894.51/392.20
  6. Step 6: Final answer
    x = 512.22

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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.