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Finding the Fourth Proportional to 240.70, 361.89 and 189.97

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Solution

The fourth proportional to 240.70, 361.89 and 189.97 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.70 : 361.89 = 189.97 : x
  2. Step 2: Convert to fraction form
    240.70/361.89 = 189.97/x
  3. Step 3: Cross multiply
    240.70x = 361.89 × 189.97
  4. Step 4: Simplify right side
    240.70x = 68,748.24
  5. Step 5: Solve for x
    x = 68,748.24/240.70
  6. Step 6: Final answer
    x = 285.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.