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Finding the Fourth Proportional to 363.28, 544.12 and 286.08

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Solution

The fourth proportional to 363.28, 544.12 and 286.08 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 544.12 = 286.08 : x
  2. Step 2: Convert to fraction form
    363.28/544.12 = 286.08/x
  3. Step 3: Cross multiply
    363.28x = 544.12 × 286.08
  4. Step 4: Simplify right side
    363.28x = 155,661.85
  5. Step 5: Solve for x
    x = 155,661.85/363.28
  6. Step 6: Final answer
    x = 428.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.