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Finding the Fourth Proportional to 376.19, 518.61 and 286.28

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Solution

The fourth proportional to 376.19, 518.61 and 286.28 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 518.61 = 286.28 : x
  2. Step 2: Convert to fraction form
    376.19/518.61 = 286.28/x
  3. Step 3: Cross multiply
    376.19x = 518.61 × 286.28
  4. Step 4: Simplify right side
    376.19x = 148,467.67
  5. Step 5: Solve for x
    x = 148,467.67/376.19
  6. Step 6: Final answer
    x = 394.66

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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.