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Finding the Fourth Proportional to 237.98, 329.31 and 202.96

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Solution

The fourth proportional to 237.98, 329.31 and 202.96 is: 280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 329.31 = 202.96 : x
  2. Step 2: Convert to fraction form
    237.98/329.31 = 202.96/x
  3. Step 3: Cross multiply
    237.98x = 329.31 × 202.96
  4. Step 4: Simplify right side
    237.98x = 66,835.62
  5. Step 5: Solve for x
    x = 66,835.62/237.98
  6. Step 6: Final answer
    x = 280.84

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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.