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Finding the Fourth Proportional to 379.19, 523.46 and 285.98

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Solution

The fourth proportional to 379.19, 523.46 and 285.98 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 523.46 = 285.98 : x
  2. Step 2: Convert to fraction form
    379.19/523.46 = 285.98/x
  3. Step 3: Cross multiply
    379.19x = 523.46 × 285.98
  4. Step 4: Simplify right side
    379.19x = 149,696.47
  5. Step 5: Solve for x
    x = 149,696.47/379.19
  6. Step 6: Final answer
    x = 394.78

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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.