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Finding the Fourth Proportional to 441.28, 608.88 and 286.24

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Solution

The fourth proportional to 441.28, 608.88 and 286.24 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.28 : 608.88 = 286.24 : x
  2. Step 2: Convert to fraction form
    441.28/608.88 = 286.24/x
  3. Step 3: Cross multiply
    441.28x = 608.88 × 286.24
  4. Step 4: Simplify right side
    441.28x = 174,285.81
  5. Step 5: Solve for x
    x = 174,285.81/441.28
  6. Step 6: Final answer
    x = 394.96

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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.