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Finding the Fourth Proportional to 363.07, 500.71 and 285.31

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Solution

The fourth proportional to 363.07, 500.71 and 285.31 is: 393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.07 : 500.71 = 285.31 : x
  2. Step 2: Convert to fraction form
    363.07/500.71 = 285.31/x
  3. Step 3: Cross multiply
    363.07x = 500.71 × 285.31
  4. Step 4: Simplify right side
    363.07x = 142,857.57
  5. Step 5: Solve for x
    x = 142,857.57/363.07
  6. Step 6: Final answer
    x = 393.47

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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.