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Finding the Fourth Proportional to 380.13, 523.98 and 286.71

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Solution

The fourth proportional to 380.13, 523.98 and 286.71 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 523.98 = 286.71 : x
  2. Step 2: Convert to fraction form
    380.13/523.98 = 286.71/x
  3. Step 3: Cross multiply
    380.13x = 523.98 × 286.71
  4. Step 4: Simplify right side
    380.13x = 150,230.31
  5. Step 5: Solve for x
    x = 150,230.31/380.13
  6. Step 6: Final answer
    x = 395.21

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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.