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Finding the Fourth Proportional to 320.41, 441.88 and 237.73

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Solution

The fourth proportional to 320.41, 441.88 and 237.73 is: 327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.41 : 441.88 = 237.73 : x
  2. Step 2: Convert to fraction form
    320.41/441.88 = 237.73/x
  3. Step 3: Cross multiply
    320.41x = 441.88 × 237.73
  4. Step 4: Simplify right side
    320.41x = 105,044.73
  5. Step 5: Solve for x
    x = 105,044.73/320.41
  6. Step 6: Final answer
    x = 327.84

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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.