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Finding the Fourth Proportional to 285.38, 393.82 and 173.31

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Solution

The fourth proportional to 285.38, 393.82 and 173.31 is: 239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 393.82 = 173.31 : x
  2. Step 2: Convert to fraction form
    285.38/393.82 = 173.31/x
  3. Step 3: Cross multiply
    285.38x = 393.82 × 173.31
  4. Step 4: Simplify right side
    285.38x = 68,253.91
  5. Step 5: Solve for x
    x = 68,253.91/285.38
  6. Step 6: Final answer
    x = 239.17

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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.