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Finding the Fourth Proportional to 285.35, 393.77 and 159.31

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Solution

The fourth proportional to 285.35, 393.77 and 159.31 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 393.77 = 159.31 : x
  2. Step 2: Convert to fraction form
    285.35/393.77 = 159.31/x
  3. Step 3: Cross multiply
    285.35x = 393.77 × 159.31
  4. Step 4: Simplify right side
    285.35x = 62,729.73
  5. Step 5: Solve for x
    x = 62,729.73/285.35
  6. Step 6: Final answer
    x = 219.83

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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.