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Finding the Fourth Proportional to 362.43, 539.78 and 343.80

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Solution

The fourth proportional to 362.43, 539.78 and 343.80 is: 512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.43 : 539.78 = 343.80 : x
  2. Step 2: Convert to fraction form
    362.43/539.78 = 343.80/x
  3. Step 3: Cross multiply
    362.43x = 539.78 × 343.80
  4. Step 4: Simplify right side
    362.43x = 185,574.65
  5. Step 5: Solve for x
    x = 185,574.65/362.43
  6. Step 6: Final answer
    x = 512.03

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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.